when supports are counter picked by core, they have no impact? but when cores are, they can still manage their game? (might contain spoilers)

Hello,

whether you agree or disagree, please assist your arguments with examples, preferably from pro games.

1. last pick storm in OG vs GG completely removed both rubick and cm from the game. https://www.dotabuff.com/matches/6973224899
   YT link: https://www.youtube.com/watch?v=bx2htz_kqEw
   highlights link: https://www.youtube.com/watch?v=h3TzeQGh6yI
2. on the other hand: og first pick timbersaw and was countered picked by 5 heroes and still managed his game
   highlight: https://www.youtube.com/watch?v=ecu7pXQm48k
3. How tuskar removed CM from the game in ti 5
   highlight: https://youtu.be/-WA0fS8om8w?t=784
4. they say Cm counters PL, butI have had games where PL managed against my CM just with basher/abyssal, and later nullifier.
5. I have also had games as LC where enemy counter with both dazzle and WW and still managed to win the games. also LC vs OD can work. vs pudge too. Hard but manageable.

what do you think? are there cases where support counter picks completely nullified core?

If there are no cases then that seems unfair, supports should also be able to equally play.