Not with how this game is played no. Resource management typically means mana. On most healers mana is a joke. AST is especially bad for this as I have personally used just Astrodyne to regain it off of a death and the same skill for multiple rezzes. Mana is supposed to be important as it means the higher cost spells mean they heal more, but we cannot spam them (think Cure 3 if it wasn't limited to a radius).
Now, you can get by with having so many oGCDs as we have with 0 mana cost IF
They had sufficient CDs tied with them. I think I have a post of mine complaining about why Lady of Crowns sucks for me - it is essentially a 60s helios... when I have 3-4 other 60s CDs. Like Exaltation is up every 60s for a tank buster, every Xs I have an aoe for a raid wide. To the point where I can ignore part of my kit. By 90 I should be making the most of my kit. In stead I ignore CI because Exalt is up 100% of the time and unless I'm shielding a tank/dps/my dumb self from a hit they may not survive without it, I don't use it. Collective Unconciousness? WHO? For a good part of Shb I didn't even need it! Most damage that it would have mitigated either ES or Celestial covers it. Horoscope? Pretty much the same, OR I replaces Celestial with it if I know the fight well enough.
Neutral Sect? In Shb as a new healer I thought it was kinda meh. I usually had a SCH cohealer. Unless we wanted to be extra safe the shielding felt worthless when my regens were strong enough to cover the damage.
As for job gauges... Eh not a good idea of a resource system atm. AST's Astrodyne is lackluster even at 3 seals. Cards, both of them, just keep me busy but not in a way I feel fulfilled.
SCH's Fae Gauge... Not hard to manage. Actually I have problems keeping it from being full when I don't need the healing outside of pack mobs (perhaps that's changed with this expansion, but I can't do SCH)
SGE? I feel like I need to dump to regain mana and I haven't played it enough to optimize Adderssting (like SCH its not my kind of healer, I hate shielding)
WHM's lilies? Sure if they did more with it maybe. Like SGE I feel like I'm dumping for no reason.
To me they feel disconnected from the healers' kit and not a lot to manage. Just... busy work.
Edit: I should add that the gauges (mainly lillies/addersgall/aetherflow/fae gauge) feel more like things I am forced to use to not waste them otherwise they fill up and unlike aetherflow which has a dumb like ED, the others don't and I'm left going... "well free healing... that I don't need?"