Could someone tell me how to read Team Comps?

I'm a gold player, playing since season 4. I know team comps count a little less in low elo, but it's always fun to see who has a late or early game advantage. And I've been getting my inner predictions relatively correct, but a few times I watch these high elo streamers who say "Oh no, the enemy has a way better comp than we do" where as I would have guessed otherwise. What specifically do you look at when evaluating team comps? So I know having a good mix of tank and damage is great. A mix of AP and AD. Few champion synergies like Lulu into Master Yi, or Zilean into Master, Malphite into Yasuo etc. What else could I pay attention to to evaluate team comps? Lane matchups? Counters? Thanks in advance!
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