As scripted and low incoming damage in savage is, healers are still important.
The main difference is that they don't need gear to perform their role efficiently and well and gear upgrades have very little impact compared to a dps and to an extend, even tanks. As a healer in raids I feel gear is just wasted on me and will gladly hand it over to a dps or tank anytime and take whatever is left. If I have enough to get by and not be a one shot even through mitigation, that's fine.
Gear makes healing more comfy but with two healers being overkill in most savage fights, it's the last thing I need in our static. In a chaotic PF party it may feel nice but definitely not in a coordinated static.
And even after only a few kills we already had a couple of free for all items, meaning everyone who needs it already got it. And even if it's not BiS, it's an upgrade so there's always the option to take an upgrade that may not be perfect but is still an improvement.
You're missing one important point here: although it's all about dps, only an efficient use of your own toolkit and coordination with your co heal allows you to really push dps. The dps you are or are not doing is just a result of your level of gameplay when it comes to your primary function: healing. Only a good healer can become a good green dps. Statics are more willing to take someone who is not yet doing a lot of dps but has the healing part of their class down, meaning they know the fight, the incoming damage and prepare instead of blindly reacting, they use their whole toolkit and keep their oGCD heals rolling, they don't miss important cd uses, line up raid buffs properly, neither overheal too much nor snipe their co heal etc.
Because they may still grow into a really good green dps or at least never crumble under pressure when things go south.
It sounds more like you don't want to be judged for performance but even in games with full-time healers it was all about performance for most endgame players.
Because a good full-time healer, that used their own toolkit efficiently and worked with their co healer(s) gave the static the option to drop a healer for another dps because more dps is always useful. Or it at least allowed healers to spec and play more offensively as a makeshift solution until they reached the threshold for dropping a healer.
It is still all about performance and dps.
Someone who has healbot gameplay level in FFXIV still wouldn't be welcome in many statics in those games because it's clear from the beginning that they will neither enable the static to drop a healer later nor will they be the one switching to dps.