No, the one in this auction is not the same keycaps as that tee mount Alps board, and I very much doubt it’s tee mount Alps switches. This is a TI-99/4A keyboard, but various ones were made with 2–4 different types of switches.
I wouldn’t be surprised to see a Hi-Tek/Stackpole switch, but I’m not sure quite what’s under there. Don’t go into this auction with high expectations, and you won’t be disappointed if the switches turn out unpleasant.
If you search on ebay, at any given time there are a bunch of various TI-99/4As on auction for various prices.