I don't really see how it calls out the abilities in question, though I can see how it works for Batman, obviously, and Odysseus as the very end of his story arc, for that matter. I think the Avenger and Invoker are pretty dispensable 4e classes in the context of 5e, since they were both the product of the way 4e sliced up Tier 1 classes (other than wizard which they more just whittled a bit) to fit into the formal-Role paradigm. The former was little* more than an unarmored paladin, and with 5e's seamless STR/DEX decision point, that'd doable (if not ideal) as-is, and a sub-class might take care of anything* beyond that. The latter is prettymuch wholly subsumed by the return of the Cleric as prepped caster in 5e - prep blasting spells, wave a rod around, & RP Moses.
But, yeah, the names will still carry the baggage, even if all the baggage fits neatly in the back of the resurgent traditional class's Hummer.
* Full disclosure: I never 'got' the Avenger. Not just because I never cared to play strikers myself, most of 'em I could see the point of - what they were meant to 'be,' how they might be played, etc. The Avenger never gelled for me. I ran for Avengers, and the players generally had a great time, though, so clearly there was something there. So if any Avenger fans feel like I'm throwing your class under the bus, well, nolo contendere...
...also, apropos of nothing, it's the class that heavily-used the mechanic that would become Advantage in 5e.