Anyway, I personally like the PSTV and bought it rather than the regular Vita because I wanted to play Vita games but wanted to play them on a TV and using my PS4 controller.
The PSTV can play most Vita games, but some Vita games were blacklisted from being possible to play on the PSTV. That’s another place where, in addition to being able to run homebrew, jailbreaking your PSTV is useful. With my jailbroaken PSTV I can play Vita games that I paid for but which Sony blacklisted from being played on PSTV.
The reason Sony blacklisted most of the games they did is mostly because the portable Vita has some things like touch sensitivity on the back side, which some games Rey on. But I was able to emulate that feature with my PS4 controller. Don’t remember if that was a feature of vanilla PSTV or if it was enabled by the jailbreaking.
So yeah, check out PSTV if you are interested in Vita. I seem to recall that I paid about $50 for mine on eBay new in box. It came with a PS3 controller but I used it with the PS4 controller that I had instead because I like the PS4 controller better than the PS3 controller.