The energy needed to achieve orbital altitude is vastly less than the energy needed to reach orbit. About 1kg of rocket fuel will carry a small explosive and some tiny steel spheres to LEO altitude. The projectile will not be in orbit; it won't have escape velocity -- in fact it will briefly hit zero velocity (wrt the earth) at orbital altitude and then fall back to earth.
The very large cloud of shrapnel created will encompass LEO orbital height for several seconds. If an orbiting datacenter passes through the cloud during those seconds, the shrapnel will be moving at orbital velocity wrt the datacenter. In other words, just one piece will take it out.
With relatively simple rocketry (and, these days, an abliterated LLM to aid you) a dedicated luddite would have several opportunities per day to hit one of a constellation of satellites. If they wanted one very specific satellite they'd have one or two chances a year. The targeting and steering is not hard -- the orbital paths are publicly known and easily observable; you can use RF time-of-flight to implement exceptionally precise position/altitude/velocity measurements from the rocket (no need for GPS -- use your own transmitters on the ground). This is not hard. And it will only get easier as AI advances.
*I strongly discourage anybody reading this from doing the above.*
I'm posting it in order to show people that anti-sabotage is absolutely not a selling point for orbital datacenters. If anything, they are far more vulnerable to luddite attacks. The people channelling billions into this tech know this too. So their motive is something else. I don't know what, but it isn't this. The math doesn't work.