Not really... Disney bought an already established streaming company for 2.5+ Billion to make Disney Plus.
There may be some log-in issues and stuff because of the ridiculous amount of people trying to log-in at once, but I don't think it will be typical Disney IT bad, since it's not in-house Disney IT.
I think it will depend on the TV. If it's a Google TV or Roku TV, then I'm pretty sure it will be available day 1.
Edit: I looked it up and found all of the available devices. If it's Google, Roku, or
Amazon, then it will work. If it's made by Samsung, Vizio, LG or Sony, then it should also work day 1.
https://www.ign.com/articles/2019/11/09/disney-plus-how-to-watch-ps4-tv-game-consoles