Would it though? How many people are running inference at home?
I don't know how to quantify it, but it certainly seems like a lot of people are buying consumer nVidia GPUs for compute and the relatively paltry amounts of RAM on those cards seems to be the number one complaint.
So I would say that Intel's potential market is "everybody who is currently buying nVidia GPUs for compute."
nVidia's stingy consumer RAM choices also seem to be a fairly transparent ploy to create a protective moat around their insanely-high-profit-margin datacenter GPUs. So that just seems like kind of an obvious thing for Intel or AMD to consider tackling.
(Although, it has to be said, a lot of commenters have pointed out that it's not as easy as just slapping more RAM chips onto the GPU boards; you need wider data busses as well etc.)