While it clearly depends on the pacing of the games you play, both factors will affect your immersion.
For me this is important. Lower resolutions will obviously affect static assets, introduce lower textures and reveal jagged edges (not the same as in RL, "hey, the closer I get to this wall, the less detailed it is!!?! WTF?")
Frame rate will have an impact on your apparent reaction to ingame events, I agree with some of the above posts, if its inconsistent, it will bring you out of the experience. 60 or 30, either way, it needs to be steady.
It's largely down to the type of game to an extent, high paced racing titles or single player FPS, you need high framerate, and this is usually achievable given the controlled aspect of how you're channeled in order to experience the game. With open world games, I appreciate it's much harder.
Personally I like games where I'm alone in a darkened room holding a shotgun, while being aware there's probably something nasty just over yonder, who may want to eat me
For this to truly immerse me, I need both factors.