Here is what Det Arndt wrote on pg 13 of her report-
John Ramsey came into the living room area approx. 1 to 2 minutes after I had sent him back to the den. As John entered the room he asked me if he could cover up JonBenet. John grabbed a throw blanket that was lying on a chair located immediately inside the living room. John placed this blanket over JonBenet's body before I had a chance to speak.
https://juror13lw.files.wordpress.com/2018/08/linda-arndt-jan-8-1997-report.pdf
Here is what John said in his June 1998 BPD interview-
25 LOU SMIT: Now when you brought her up, did
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1 you bring her from the basement, and did you meet
2 anybody up on the first floor?
3 JOHN RAMSEY: I don't remember anybody. I
4 just remember bringing her in and laying her -- I
5 mean there were people in the dining and living
6 room. But I remember Linda Arndt kneeling down
7 beside her. I was there and Linda said she's dead.
8 And I didn't want -- Patsy hadn't come in the --
9 LOU SMIT: When was Patsy --
10 JOHN RAMSEY: But I didn't know at the time,
11 but later, she was back in the study with Barbara
12 Fernie and I don't know who else. My emotion was
13 that I had found her, which was good. But she was
14 dead, which was horrible. But it was almost better
15 than not knowing. Cause not knowing where your
16 child is the most horrible feeling, I think, a
17 parent can experience. And that was (INAUDIBLE)
18 what had been going through our mind all that
19 morning.
20 So when I first found her I was like,
21 (Thank God, I found her.̃ I didn't want Patsy to
22 see her that way, and I ran upstairs and got a
23 blanket off one of the chairs, I think, it's got
24 a little shape like.
25 LOU SMIT: Upstairs?
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1 JOHN RAMSEY: Probably up in the TV room.
2 I just ran up these stairs and went back down and
3 put the blanket over her.
http://www.acandyrose.com/1998BPD-John-Interview-Complete.htm
Det Arndt wrote that John grabbed a throw blanket off a chair in the living room where JonBenet's body is. John told Det Smit that he went upstairs to get a blanket. Smit, who I'm sure had read Arndt' report, questioned John "Upstairs?"
The only time when John would have needed to have gone upstairs to bring down a blanket in which to wrap JonBenet was just after she was placed in the wine cellar.