I'll also note that being flagged for further scrutiny can effectively end a project that requires disbursement of funds in a timely manner. Ask me how I know, and I'll tell you that I was looking for work last week, because the projects I work on would not have been able to pay me next month if the executive order had not been rescinded. This isn't my speculation, it's what we were told by leadership. These projects are not at all DEI-related, but a shotgun approach to halting disbursal until we're convinced otherwise would have caused a lot of projects to go tits up in the interim. Grant-funded science projects generally do not have huge cash reserves to pay employees until the money spigot turns on again. So, applying a filter blacklist can be very destructive, just by creating temporary false positives.
Heavy collateral damage is incredibly likely.
Also research with the wrong ideological underpinning can't violate anti-discrimination laws even if one imagines erroneously that application of same in hiring would despite prior supreme court findings.
Lastly over zealous punative punishment of lawful speech leading to aggressive self censorship is a entirely legitimate concern.
The logical result is suppressing the sciences. It is in fact the very same political correctness oft decried by nazis and bigots weaponized against everyone who isn't a christian white male.
Both the post and the comment you are replying to used the term "flagged". Best I can tell, they aren't claiming what you seem to think they are claiming.
In the last century, neither fascists or stalinists had any issue with banning 'Jewish' science, despite it having absolutely nothing to do with race. Because their goal was getting rid of the enemies of the administration.