KooyeenMy dictionary mentions that usage, so it must be acceptable (at least to someone, in theory).
It's more than just theoretical.

I am tired of politics. (current state) ["stative"]
I tire of politics quite easily. (= I [get / become] tired of politics quite easily.) ["inchoative"]
The same pattern of stative (is) and inchoative (becomes) applies to several other verbs. The second sentence in each pair below has the inchoative meaning.
They're scared. They scare at the slightest noise.
You seem to be embarrassed. You seem to embarrass easily.
The leaves are dried. The leaves dry quickly once they are removed from the branches.
The pipe is ruptured. The pipe ruptures as soon as the pressure increases.
This plain is flooded. This plain floods nearly every year in the spring.
The balloon is inflated. The balloon inflates quickly with compressed air.
CJ