While not commonly known, I have it on unimpeachable authority that US airline pilots showed up at area control centers during the 1981 strike to help the [admittedly] scab controllers out in any way they could. The politics are convoluted, but ultimately, pilots saw their own fortunes at risk.
"Tearing strips" was the main utility for pilots on the jobsite.
We're not there yet. A fund to stop-gap controller paychecks seems unwieldy. After all, they will eventually get deferred compensation, no one disputes that.
So far it's been 2 weeks of shutdown. Missing paychecks are probably a week or so in.
At the very least, a simple "thank you for all you do and showing up, we appreciate the heck out of you" on the radio when not congested seems appropriate.