Perforated eardrum (healed) and frequency response

How great a role does the eardrum play when it comes to hearing frequencies? Or… which part of the ear is most important when it comes to frequency response?

In a typical case of a perforated eardrum that heals completely, would one expect to hear the same ranges of frequency as before? Or is there no such thing as a “typical” case.

If there is some permanent hearing loss as the result of a (healed) perforated eardrum would it be perceived as an overall difference of volume, just difficulties with certain frequencies or both? Would it be scar tissue causing the difference? Any chance that you’d hear “better” once your eardrum repaired itself?

(Above questions assume that there was no other trauma to the ear components like the little bones.)