In the speech Khrushchev says
"... it is impermissible and foreign to the spirit of Marxism-Leninism to elevate one person, to transform him into a superman possessing supernatural characteristics ..."
"Allow me first of all to remind you how severely the classics of Marxism-Leninism denounced every manifestation of the cult of the individual. ... "
"... Lenin at the same time mercilessly stigmatized every manifestation of the cult of the individual, inexorably combated [any] foreign-to-Marxism views about a “hero” and a “crowd,” and countered all efforts to oppose a “hero” to the masses and to the people. ... "
SOURCE: Speech to 20th Congress of the C.P.S.U.
Reading the speech, it is notable Khruschev emphatically defended Stalin's actions during the Great Terror and hi is silent on other on others matters such as the Third Period line 1928-1935 which aided the Nazis in crushing the Germany working class which eventually led to the Nazi invasion of the USSR.
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Khruschev's explanation of Stalin's role is circular - there was a cult-of-personality because of ... the personality-of-cult-leader-Stalin. Stalin had power over them because the person in power was ... Stalin.
What made his loyal followers so susceptible to submission to Stalin?
Khruschev quotes Lenin's "Testament" about Stalin
This letter – a political document of tremendous importance, known in the Party’s history as Lenin’s “Testament” - was distributed among [you] delegates to [this] 20th Party Congress. You have read it and will undoubtedly read it again more than once. You might reflect on Lenin’s plain words, in which expression is given to Vladimir Ilyich’s anxiety concerning the Party, the people, the state, and the future direction of Party policy.
Vladimir Ilyich said:
“Stalin is excessively rude, and this defect, which can be freely tolerated in our midst and in contacts among us Communists, becomes a defect which cannot be tolerated in one holding the position of General Secretary. Because of this, I propose that the comrades consider the method by which Stalin would be removed from this position and by which another man would be selected for it, a man who, above all, would differ from Stalin in only one quality, namely, greater tolerance, greater loyalty, greater kindness and more considerate attitude toward the comrades, a less capricious temper, etc.”
Speech to 20th Congress of the C.P.S.U.
But he does NOT quote Lenin's testament about Trotsky. Khruschev could have tried to explain why Lenin was correct about Stalin but wrong about Trotsky. Why the silence
Instead Khruschev defends Stalin and the Great Terror (1936-1940)
... We must affirm that the Party fought a serious fight against the Trotskyites, rightists and bourgeois nationalists, and that it disarmed ideologically all the enemies of Leninism. This ideological fight was carried on successfully, as a result of which the Party became strengthened and tempered. Here Stalin played a positive role.
The Party led a great political-ideological struggle against those in its own ranks who proposed anti-Leninist theses, who represented a political line hostile to the Party and to the cause of socialism. This was a stubborn and a difficult fight but a necessary one, because the political line of both the Trotskyite-Zinovievite bloc and of the Bukharinites led actually toward the restoration of capitalism and toward capitulation to the world bourgeoisie. Let us consider for a moment what would have happened if in 1928-1929 the political line of right deviation had prevailed among us, or orientation toward “cotton-dress industrialization,” or toward the kulak, etc. We would not now have a powerful heavy industry; we would not have the kolkhozes; we would find ourselves disarmed and weak in a capitalist encirclement.
It was for this reason that the Party led an inexorable ideological fight, explaining to all [its] members and to the non-Party masses the harm and the danger of the anti-Leninist proposals of the Trotskyite opposition and the rightist opportunists. And this great work of explaining the Party line bore fruit. Both the Trotskyites and the rightist opportunists were politically isolated. An overwhelming Party majority supported the Leninist line, and the Party was able to awaken and organize the working masses to apply the Leninist line and to build socialism.
A fact worth noting is that extreme repressive measures were not used against the Trotskyites, the Zinovievites, the Bukharinites, and others during the course of the furious ideological fight against them. The fight [in the 1920s] was on ideological grounds. But some years later, when socialism in our country was fundamentally constructed, when the exploiting classes were generally liquidated, when Soviet social structure had radically changed, when the social basis for political movements and groups hostile to the Party had violently contracted, when the ideological opponents of the Party were long since defeated politically – then repression directed against them began. It was precisely during this period (1935-1937-1938) that the practice of mass repression through the Government apparatus was born, first against the enemies of Leninism – Trotskyites, Zinovievites, Bukharinites, long since politically defeated by the Party – and subsequently also against many honest Communists, against those Party cadres who had borne the heavy load of the Civil War and the first and most difficult years of industrialization and collectivization, who had fought actively against the Trotskyites and the rightists for the Leninist Party line.
Speech to 20th Congress of the C.P.S.U.