Russia, China, Iran etc. are throwing a hissy fit whenever even a small weapons are deployed in the neighboring countries. USA too if we are being fair. They won't even wait for that opportunity.
I think they mostly throw a fit because medium range ballistic missiles allow practically no useful early warning.
When the ICBMs go up, early warning radars notice them right away and you still have time to act. Leaders can make it to helicopters and basement bunkers, bomber squadrons can scramble, missile silos can already be empty when hit, road mobile ICBM launchers can still relocate.
But with a large enough number of MRBMs, your opponent might get ideas. They might start thinking about getting away with a decapitation strike.
The military space elevator is more like an ICBM in this case. There will be ample warning when somebody drops something from geostationary orbit (and also when somebody drops something from lower up).
Yup, it's not like a video game where you get instant notification/identification.
And it's why we have been so worried about Russian nukes--they have used liquid fueled birds, they can't be held ready to launch. Such birds are pretty much only useful for a first strike as they won't be able to launch them once incoming missiles are detected unless they're being held at launch ready (and they can't do that for too long.)
When the stakes are that high, words such as hypocrite don’t fit very well. It’s all game theory. It bought us Pax Americana for a while. Not universally loved but a time may (God forbid) come when it will be universally missed.