beside of how easy it is to destroy from orbit the anti-satellite missiles coming out from the atmosphere, you're probably missing the fact that any object in orbit is basically a warhead with TNT equivalent of at least 6x its mass. For example the 150 tons payload of just one Starship will have close to 1 kiloton TNT equivalent - 5% of Hiroshima - if dropped from orbit.
Something being deorbited will probably break up into relatively harmless pieces that mostly burn up though, and there's no nuclear material involved so even if a massive chunk hits the Earth that's not going to have a huge impact. Based on ocean coverage there's a 0.7 probability that it'll just make a big splash.
Should we ever get to a point where a country is considering shooting down space datacentres, considerations about the impact on Earth is unlikely to stop them.
> beside of how easy it is to destroy from orbit the anti-satellite missiles coming out from the atmosphere,
No state has deployed a kinetic or explosive weapon from orbit to strike a ballistic missile or launch vehicle during ascent.
No operational system exists where satellites are used as strike platforms against Earth-launched rockets in real time.
Russia has done ground-to-orbit anti-satellite missiles though.
Any directed energy system shooting up would be strictly easier than one pointing down, not only because of thermal issues and power supply but also because it's easier to hide ground installations than satellites.