Talking of scripts on eBay, do you think this is real?

https://www.ebay.com/itm/Columbo-Signed-TV-Script-X6-Murder-By-Book-Peter-Falk-Steven-Spielberg-Milner-rp/264092748495?hash=item3d7d278acf:g:VckAAOSw7XZXhdwo:rk:1:pf:0

Even if they say it's a colour copy of the script (not an original one), the photograph is clearly anachronistic for a 1971 episode, so I wonder whether the rest, autographs and all, has also been altered. And what about the F in Peter's signature? Is he known to have used that type of F in a certain period of his life? I've seldom seen it, and I don't think I've ever seen in on an early photo. A quick Google search yields this:

https://auctionimages.s3.amazonaws.com/79475/128340/120904425.jpg