Ammo was never 'extremely limited' in RE. Unless you're playing for the first time, or very badly, or squandering, you will have enough ammo to kill anything that takes your fancy.
I wouldn't say limited, but first playthroughs ammo / item management was very important. You could easily find yourself running low or making a mistake of using something on one section that would have been better later.
Subsequent playthroughs, and knowing item placements, there were no issues amassing a small arsenal.
Also don't forget that save rooms and item carry restriction also added to the tension, forcing decisions and planning. Later RE's there that all out the window for a large arsenal and ammo pooping enemies.