It moves the discussion further to the right and legitimizes Republican talking points for the majority of people who will only hear a brief soundbite about this, rather than diving deep into the matter.
Besides, the GOP isn’t about to run out of bogeymen to trot out just because they could get what they want on the border. They can take it as a compromise and try to push things further down the line. Or they can decide this is good enough for now, and start railing against something else. Union membership rising being a Chinese plot to infiltrate the US and install a Communist dictatorship, so we better write some new laws to enable even more union busting. Free school lunches for kids from poor families turning them gay AND communist by getting them hooked on the government teat early. Woke public libraries turning kids trans by letting them check out books that don’t universally demonize it, so better put some sort of draconian funding limits on them. They’ll find something else, don’t worry.
The way you’re framing it and Congressional Democrats approach these things only work if the Republicans aren’t completely shameless, above doing things that should completely destroy any remaining vestiges for their voters, but this has been disproven time and time again by the actions of the GOP. If they think they’ll have half a chance, they’ll wring out even more concessions on this front from the Democrats by pretending to offer something they immediately renege on, just to leave the Democrats going “Aw, shucks, fooled me again. I thought you said you weren’t going to do this again.”
Damn, I was coming here to say this. All I can add is that maybe sleep on your stomach with one of these, otherwise it could wake her up vibrating the mattress, since she sounds like a light sleeper.