In short - no, it is not tatting. In long - it is probably going to be. You remember I said I was stunned a bit when I saw this. Here is the long and short of it. I think it is supposed to be tatting.
I have a penchant for playing video games on my computer. Particularly the ones called first person shooters. There is one called Fallout 4 (you can google it to see what it looks like) that I have been playing that takes place about 200 years after the nuclear world war. You go all over this game world exploring and killing monsters. I was doing so when I entered a bombed out house and was going through it when I saw this doily on top of a cabinet in one room.
When I saw that, I just stopped. Who has put tatting in a video game, especially one that is a post-apocalyptic type game. I just could not believe that the game creators had done that. Not so much as it is there, but that someone knows what tatting is at that company. I have been all over several different worlds in games, but this is the first time I ever saw a tatted piece in one of them. I was just totally blown away.
I do intend to try to make this. I like the pattern and I feel it should be brought to life out of the game.
UPDATE!! See Mandatory's comment. She found out this is a real doily and linked the pattern!
Mary Maynard's Small Doily