I don't think this is really even a question, tbh. Don't forget that the whole basis of this series is the MC powering up by chugging the infinite supply of elixirs he has access to. In this series all it's been explicitly stated that elixirs do afaik is hp/mp recovery (and max increase), but elixirs are commonly magical cure-alls in fantasy.
So this plot development's less trying to create "oh no, will Katya make it" BS drama, and more foreshadowing "oh no, Akira will have to spill the beans a bit on the true extent of his 'summon' ability when he just pulls an elixir out of nowhere to save her". They also made sure at the start of this arc to bring up the time Akira used an elixir in front of Medisfina as a kid, to show that she had suspicions about what he actually did there but wasn't actually sure what he did, so it's likely to come up again.