This is sunk cost reasoning.
No one takes on more debt / raises more funds unless they have to. If your company needs to raise more capital your stock options are worth exactly 0 dollars. You already lost that bet, because your company isn’t solvent without external funds.
The new investors may give you a new bet, but don’t think your original bet still stands - you lost that when you had to do another round of founding. You should also expect the new bet to be significantly worse than the old bet, because you have no leg to stand on in the bargaining of the terms of the new bet.