US civilians aren't subjected to them though.

Precisely. It's about terror. The US having the political capital it does (among other things, being a Security Council member in the UN), Americans won't push their government to curtail drone use until and unless they're on the receiving end of asymmetric warfare attacks perpetrated with low-cost disposables carrying lethal payloads.

(Certainly not advocating for this, but noting that it's the most likely trigger to get the ball rolling on regulation of drones in military operation where very little currently exists).

I would not be so sure - a mind boggling number of drones and drone types are used in the Ukraine war, from small observation drones, over supply drones, drop drones, fast one way FPV kill drones up to almost regular drone swarm exchanges with 100+ drones going one way (indigenous Ukrainian drones one way, clones of Iranian Shaheds from the Russian side).

An oil terminal in Feodosia is still burning after the latest Ukrainina strike.

There was even a few cases of re-purposed ultra light aircraft serving as one way drones for ultra long range strikes on the Ukrainian side.

In another region Israel has to shoot down various terrorist launched one way UAVs almost regularly by this point & uses UAVs heavily by itself.

So while US certainly did pioneer UAV use, it seems to be it is getting eclipsed by other states in this area.

It's not unless you consider Ukraine part of the US. Russia and Ukraine are using 10k+ drones per month each.