I wasn't around during Stormblood long enough to know what the deal was with MCH, but that sounds like a false equivalence. Any failings MCH had during Stormblood were most likely the result of poor design and/or balancing (read: stuff that could be fine-tuned because the groundwork was already in place). BLU was intentionally made devoid of mechanics. That's a huge difference between those two scenarios.
I've looked over the spell list in and out of the game, and I don't see much aside from a handful of spell interactions, most of which are little more than gimmicks (Lv5 Petrify => Drill Cannon, any stun => Sharpened Knife).As for mechanics to back it up, there is a ton of mechanics already in their spells.
I also see a bunch of spells that are not usable in dungeons and raids (Doom, Missile, Lv5 Petrify, Tail Screw, Snort, all stuns, anything that resembles CC), a tank stance with a cast time, and two suicide moves. The only things that I would consider usable in the current design would be the DoTs (Feather Rain, Song of Torment), Flying Sardine if you ever need an interrupt (though it doesn't seem like that sort of thing is mandatory) and Bad Breath every 15s for the attack debuff/Peculiar Light for the magic damage taken debuff. I won't claim that utility isn't covered, but that leaves BLU to spam Water Cannon between the cooldowns for Feather Storm/Glass Dance/Shock Strike.
Which takes us to my point on gameplay and mechanics. BLU doesn't have much to go by, especially when compared to the other casters in the roster. It also doesn't have traits that support the job in its chosen role (taking a page from the FFXI "certain spells in a combo grant traits" system wouldn't be a bad place to start). And considering the devs have a fixation on giving everyone a resource bar (even jobs that never needed them; see: PLD), you'd need to address BLU's lack of that as well.
To get back into brainstorming, you could plausibly make spell interactions BLU's thing (the way Astral Fire/Umbral Ice is BLM's thing and Aetherflow is SMN's thing), but you need to take it well beyond just the gimmicky stuff currently in place.