I personally think they can. Perhaps have some archetype ranges for skills that can contribute to an overall flow, for example you can choose between matra magic/magic hammer/lancet for a required MP sustainability spell, each having unique effects, AoE in Flamethrower/Aqualung/Trine, debuffs in Off-Guard/Degenerator, buffs in Dragon Force, etc., and have the options represent different types of damage being done, with certain aspects being more useful for certain fights. Classes already work this way in minor ways, classes with high burst or consistent uptime have differing fights they excel in. It's borderline theorycrafting, but there are ways to have a large pool of skills and still be usable in this game we all play called FFXIV that includes classic Final Fantasy jobs all having their time in the light.
On a personal level, I like Blue Mages and Blue Magic on one level because they represent a more intimate relation to the game world; one gets to feel as though they are using the abilities of your enemies and feel that there's a way to strategize with myriad abilities that you'd otherwise only get to see, not use. The act of collecting them ranges from satisfying, interesting, to downright annoying but I never felt was integral to "being" a Blue Mage, merely one way of establishing that interaction to the game world. This is the constant idea behind methods that have been noted to be very different between iterations.
I really loved them for that, even if in many of the games you'd try to use them as pseudo casters with a wider bag of tricks when you're not abusing game mechanics in specific fights. Going through all the hoops to get Quistis' Shockwave Pulsar and seeing her use this amazing attack was great, even if it in reality wasn't some major advantage over the other spells one could use. Same with Strago and Grand Delta. Game breakers like Degenerator, Bad Breath, etc. are more of like a "wow, that works there?" than something I consider to be Blue Mage's niche identity. And really, in each game you could use Blue Mage's more tricky abilities in abusive ways, there's dozens of other examples like just using Odin every fight or something, it's not a Blue Mage unique thing.