"steering precision-guided munition"
I'm no expert on GPS but I had always read that in a near-peer conflict GPS was assumed to be jammed to the point of being useless, and that for this reason almost all military equipment is built with reliable backups that will provide a similar if somewhat degraded capability. For this reason I always thought shooting down GPS satellites was unnecessary, especially in a very localized conflict it's pretty easy to just jam it. Obviously spy satellites are a lot harder to hide from, and they're also generally lower and therefore easier to shoot down, but again I understood we had alternatives like the X-37 that can maneuver and would ostensibly be harder to intercept.
I'm happy to be corrected about any of this as I find it super interesting, but to me it seems this is a phony explanation intended to deflect attention away from their actual missions whichares probably a lot more closely guarded.