Everquest is kind of an iffy one to use.

Clerics were very much the pocket healer as you describe, others not so much to varying degrees.

I can't even begin to express how much I miss my old handbag shaman from EQ1, I started planes raids solo, solo'd fairly significant dragons, solo'd Rakashir for a friends epic, I could just grab anyone from the guild and go merit farming, didn't matter what classes came as I could always just cover any gaps myself. Pulling, tanking, healing, even dpsing (to a lesser degree of course). FFXIV healer's are wastes of oxygen compared to what I used to get up to on my Shammy =(

Druids were less openly broken but still typically did best just soloing via quad kiting.