That is a good point Joseph, but I still don’t think that I (or anyone else) should do something harmful for myself in order to prevent such a scenario.
Also, I wouldn’t date someone who needed to be on anxiety medication but wasn’t anymore than I would date the one who is taking the medication.
But each person has to make his own cheshbonos. There have been people who married someone who was on medication and had great marriages. It depends both on the one taking the medication and the one marrying them.
I don’t want to be the one responsible for discouraging a shidduch that could work, especially since I don’t know so much about the topic. But it is definitely kidai to research the topic beforehand.