No really, I'm serious.
Like many older folks I have some mobility issues. Nothing that stops me from doing most things I need to do, but trying to bend over every couple of weeks for minutes at a time, and trying to get a good look in an awkward position to make sure I'm getting a reasonably straight cut to avoid ingrown nails is a challenge.
Of course there are all sorts of folks (like myself) who somehow manage, but there are a lot more who can't.
Yes there are things that claim to be solutions out there. A big one is a clipper attached to a long pole with a trigger to squeeze the clippers. If you already have mobility issues that ends up feeling more like a Rube Goldberg solution (I highly recommend trying it yourself sometime if you need proof it doesn't really work).
Yes, you can pay for a pedicure - but those are a little expensive if you go out for it, and very expensive if you pay for them to come in.
The robot itself would need to be able to manipulate two stainless steel plates to clip the nail but not the toe. I suspect a vacuum that has both Lidar and a Camera could be hacked into such a beast - though the programming would obviously be a challenge.
And yes, if you can price it under $1k I guarantee to buy the first one :-)