I'm their target audience too and love cooking and crafts, so pretty much a WI stereotype. My knitting group died (not literally) during covid lockdown, so I'm in the market for another outlet and have investigated local WIs in the past.
I can't join while they are TWAW and welcome men into their ranks. In all honesty I would rather they went mixed sex than their current stance. I would be more uncomfortable with the type of man who gets his kicks from invading women's spaces in this underhand way than I would an actual man.
I agree with some other posts on here that the WI is dying for many more reasons than their allowing transwomen to join. This issue is just the nail in the coffin, but an important principle to fight them on nevertheless.
I also don't think this survey will make one iota of difference. How on earth can they backtrack on this? The publicity and outrage from certain groups would be more than the WI could stand. It's still worth telling them straight, but I'm not holding my breath.