At $200/gallon, the cost of the paint would also be a major consideration.
Perhaps some well placed metallic material on or near the windows would suffice?
AFAIK they have to be grounded so it'll be a massive pain to install, even if you can get it printed.
Edit: reading some more about it, cages that are close to the radiating element may experience capacitive coupling, and this is what can cause an ungrounded cage to serve as an antenna. A larger cage, with the radiating element farther away from the cage, is less likely to experience this. In either case grounding should reduce this risk.
If a Faraday cage blocks interstellar signals only if one part of it is stuck in a ball of mud and rock... well, I have some questions.
There is the possibility of the ground being a return path to the transmitter, but if that were effective, radio infrastructure would interfere world-wide, and you could transmit through the earth's core. And even that argument would suggest that the Faraday cage should be floating, not grounded.
Not every radio runs off 2.4G, the frequency that microwaves would affect. Even for wifi there's 5ghz and 6ghz bands. For cellphones there are far more: https://en.wikipedia.org/wiki/5G_NR_frequency_bands
It degraded slowly over a decade. It's "stabilized" but just a bunch of word salad.