A summary of healer issues

[Shurrikhan]

Meaning even if I'm running with the Tank, they tend to LEAP 20 yards ahead.

If the tank's griefing the party by sprinting ahead far in advance AND using a gapcloser on the initial pull to ensure melee and healers are hamstrung during the gather, then sure, use Biolysis spam. But unless you're massively unlucky, that's far from the norm. Such isn't an inevitability or a norm. It's a fall-back. Against 4+ targets, you should be using AoW.

Why call me out for a thing the poster above said they do?

They didn't. They just said they were ready to Bio-Deploy, only to be reminded that they can't do that in PvE.
Such =/= "I Bio spammed when I could and should have been using Art of War II."

There's no context by which to say that is the(ir) norm for AoE pulls, only the closest thing that can happen to having Bane / Bio-Deploy.

Maybe my luck sucks (or is great, depending on how you look at it), but I consistently get DRK tanks, and have to actually heal them. While I can do it entirely with oGCDs (or if WHM, oGCDs + Lilies; no cast time GCDs nor Regen), it definitely isn't just "I didn't even press an oGCD heal the entire run". If I legitimately did not heal them, they legitimately would die, so it's not "unnecessary overhealing/they don't have to be at 100%". I usually start healing when they get down around 30-40%, and that's with me already using mitigation like Soil.

Same. I've tanked dungeons at basically minimum ilvl (when coming back from a break from XIV or having only tanked on another character) and not needed any GCD healing... but that's only really nearly guaranteed if the party DPS is quite high (and it helps to have a potion in my pocket, just in case) such that most mobs are dead by the time I'm ever out of CDs. And when I'm the healer, it's not terribly uncommon that I'd even have to use Solace during the pulls, instead of between them.

Usually, I at least do have to make pretty full use of my oGCDs. It's just rare I'd have to take any potency loss outside of Solaces being used during some pulls instead solely of between them.