For starters, NYC cycling infrastructure (especially, say, in Brooklyn, which I'm more familiar with) is a joke to the extent where bike lanes hardly matter, and probably should be avoided altogether because of dooring.

Really, the advice to cyclists is to stay out of bike lanes[1].

Then, congestion and cars blocking the bike lanes are not directly correlated. It's not like drivers could take the bike lane to avoid traffic.

But anyway, I just don't see the situation for cyclists change in any way due to traffic in NYC. City politics regarding bike paths play a way larger role.

[1]https://www.bike.nyc/advice/riding-tips/bike-lanes/