Wrote it somewhere else, might as well leave it here to say "Called it!" a few months later if it does come true.
Aloxamax said:
"Given both our powers, it's actually a logical conclusion..." - I think it's pretty clear what's being hinted at.
Ichigo's powers are similar to Yhwach's. Ichibei is implying that by calling his name, Ichigo gave the name itself, or rather, the entity Hyousube Ichibei part of his own power similar to what Yhwach did to the Sternritters.
Ichibei then used his own abilities to change his name, or the meaning behind it in order to restore his body using the power Ichigo gave him. If he can give others the properties of black ants by overwriting their names then he could easily change the properties that define him, making his body not be destroyed.
I'd say it's not a bad theory, since Orihime and Chad did get their powers from Ichigo, from something vague such as "excess spiritual energy" or whatever that apparently never happened to anyone else ever, only to Ichigo. Also, Ichigo only recently unlocked what appeared to be his own Quincy abilities so his powers probably developed further which allowed him to consciously give power to others, Ichibei in this case.
The only thing that lacks an explanation is why Ichibei was able to act despite being already dead. Ichibei confirmed he had in fact died, yet managed to talk to Ichigo telepathically even before he received power from him.
That however is a problem that revolves around Ichibei himself and doesn't affect the likelihood of the theory being correct.