I think it's more important to have similar values, goals, and routines more so than interests.

Like in your other thread - I'm an early riser and not a night owl. I would have difficulties in a relationship where my partner would want me to always be up late without any consideration of my own need to get enough rest (I don't choose to wake up early my body just does). It also then makes it difficult when I've been awake for hours waiting for the guy to wake up so we can start the day. Either we would both have to compromise and work through things, or the relationship wouldn't work.

I don't enjoy sports. Totally not an interest of mine. But if the guy I'm seeing is into sports? Good for him! I'll happily sit and watch a game with him, sometimes I'll pay attention and other times I might just chill out with a book as I love reading. I'd also happily go and watch a live game with them, or watch them if they play a sport themselves. Likewise I'd also happily go on my merry way and do things on my own or with friends if he wanted to go catch a game with his friends.