Blitz/rapid rating balance


I just thought it's normal to have similar ratings across different time controls. I was expecting some struggles because I am usually the player under time pressure in rapid games, win or lose. But it is shocking to me how much worse I am playing than most people when I can't think for a minute between moves.
I see people suggest slow games to beginners a lot. I understand but at the same time I cant always use twice as long on the clock as everyone else. It would be like playing with a handicap. So maybe I just need more games so I can be more 'automatic' in common positions?


Well I either make simple blunders or I spend too much time to blunder check that I lose on time.
Is it normal to have a much lower blitz rating than your rapid rating? Say I am a 1000 rapid player but really struggle at 400 blitz (5|0) rating. Does it mean I need to play more fast games to improve, say until I reach 700?