Yeah, there are SO many ways to do it right... Personally, I do love good grooves where the bass drum and bass guitar play in sync. I write many songs that way. Think of Steely Dan's "Hey nineteen"... Holy crap am I dating myself?!
But a lot of things sound great when they're independent. Not to mention impractical and unmusical to try to sync them all the time. Imagine trying to play drums with Flea, or Jaco if you had to hit the kick every time they played a note!
If they're not written in sync, it often sounds better if both parts are NOT too busy. Either a simple kick part with a busier bass part, or a simple bass part with a more busy kick part. In another older band, Level 42, Mark King (the bass player) would play these crazy-ass parts, and the kick drum would only play on 1 and 3! Sounded and felt great cuz Mark King's time is so solid.