Elder Scrolls online ps4 version?

I bought the standard version on the ps4 but the version The elder Scrolls online Tamriel Unlimited was displayed in the host library

Just write to the support from Sony and ask them the same question.

Tamriel Unlimited is also the basic version without DLCs. The game got this additional name a few years ago when it was converted to a free-to-play MMO. Back then you still had to pay monthly to be able to play it, today you don't have to anymore (but you can, if you want, give it some advantages).