The military implications are likely less about de-orbiting & more about in-orbit docking and manipulation expertise.
IMHO, space is big + satellites are hard to track, if they're highly-maneuverable or designed to be stealthy = possibility of launching untracked microsatellites that couple with space assets and wait for activation
Critically, add in the fact that most space-based assets are likely several years, or even decades old, and designed to minimize mass, and I'd hazard almost no satellites have on-board sensors designed to detect approaching objects.
Consequently, the first signal you get is when your satellite goes dead or tracking telemetry shows it moving without command.
Which is vastly sneakier than a huge IR bloom from a known missile site for an anti-satellite missile launch (that also happens to look like an ICBM launch).
Edit: For precedent, Red Storm Rising (1986, Tom Clancy & Larry Bond, back when Clancy wrote more hard military thrillers and wasn't yet a name brand) discusses a then-current conflict between NATO and the USSR that features Soviet grappling satellites quietly taking out NATO space assets as part of a surprise first strike.