I've been noticing that whenever I play rapid games at my current 2050 Lichess Elo my opponents are also between 1900-2100 blitz and sometimes their bullet rating is also sufficiently equal to their rapid/blitz rating. In my case , I'm stuck at 1750 blitz and 1750 bullet; I cannot seem to be able to increase these two ratings to that of my rapid rating.
So a question arises:
are there any benefits from equalizing one's ratings across blitz/rapid/bullet or is it sufficient to focus solely on rapid rating (as that is conventionally known to be the best way to improve at chess seriously) ?
I want to continue playing rapid and focus on slow tactical/strategic games, but it just feels weird that my blitz/bullet skills are disproportionally low when compared to my rapid rating, and it's weird that my opponents do not seem to have a similar problem.