No.
strategy question

basically, you are trying to say that the loss of castling right is worth a minor piece. IMHO
what you said would be :
1)True
if the center is open and you have developed all your pieces then there might be tactic or combination which might win you a minor piece even checkmate the king!!
2)False
if the center is closed, this causes the attack on king very difficult,you have to manevour your pieces and improve your control over important square move-by-move to able to win the game.
in one line : it all depends upon the position.
i hope this answers your question.
I heard once that causing your opponent to move their king and therefore be unable to castle is worth a minor piece. Is this considered to be true?