This is honestly the reason why the DNC chose to gamble on Roe rather than seizing one of the opportunities they had in the last 50 years to write a law.
It's a sleazy move, and I'm not sure why they think people don't see what they are doing.
The GOP just plays politics better though, so now they're a dog who caught the car they were chasing. The dems have a chance to make that backfire on the GOP in the midterms, but they're awful at getting or wielding power, so I'm skeptical they will.