I mean sure, that may just be an "innocent" poll and Uihlein might just be genuinely curious about what the percentages are, there is no way I would trust a conservative to not connect those survey answers to people.
Shit, they wouldn't even have to explicitly note down who answered what in the database where they count answers, since employees have to be logged in they can probably look at server & auth logs to deduce who voted for who
My work sends out "anonymous" surveys about random stuff to get a feel for what's working and what's causing problems. If you don't fill it out you get an email from HR reminding you that you haven't filled out the "anonymous" survey.
I mean it's absolutely possible and pretty trivial to do in-house online surveys so that you know whether someone has answered but can't immediately connect answers to individuals, especially if the survey didn't use an in-house web service.
Whether I'd trust a corporation that says some survey is anonymous is another matter entirely though, because I absolutely wouldn't