There is no such thing as "bottlenecking"
If, by that, you mean that upgrading a cpu or graphics card can
somehow lower your performance or FPS.
A better term might be limiting factor.
That is where adding more cpu or gpu becomes increasingly
less effective.
A balanced gamer will budget about 2x the cost of the processor for the graphics card.
You are spot on there.
If you primarily play fast action games,
then focus on the graphics card.
If you play cpu centric games like sims, strategy and MMO
then focus on single thread performance.
If you play multiplayer with many participants,
focus on higher thread counts.