Wishful thinking for sure.
And it's not 'overt sex-discrimination,' just a preference to feel comfortable sleeping. If you've lived 2 decades in a monastic community with genders strictly separated, it's quite uncomfortable to be exposed to semi-naked strangers of the opposite sex.
Suitcases are there for sure, on the Francés. At least they were last April when I joined it off the Primitivo.
I generally love staying in albergues when walking a Camino, appreciating that it's a big part of my pilgrimage experience, and aside from the usual discomforts (smells, sounds, sights), haven't had any problems. The most uncomfortable experience for me was arriving last to an albergue that had bunks pushed together so that I was basically sleeping in a double bed with a man who I hadn't encountered before. It was all fine, just not the most ideal sleeping situation (so maybe THAT'S what I'd change about the CF? No bunks pushed together?)
All that being said, I recently walked one of St Olavs Ways in Norway this summer, and I was struck by how thoughtful and mindful my hosts were when deciding on sleeping arrangements. The pilgrimage through Norway is different in many ways from the Camino, with infrastructure differences and of course cultural differences as well. But for most of the way, hosts separated men and women when choosing rooms and sleeping spaces for us, and after a few weeks of this I realized that I was more comfortable and relaxed in a way that I'm not *quite* in the albergues on a Camino. Many of the pilgrim accommodations in Norway had several (smaller) rooms to use for sleeping arrangements, so at times it was easier to separate by gender, or for hosts to check in with us to make sure we were comfortable with our "bunk buddies" (though, for the record, there were rarely bunk beds on the Olavsleden!). This is a different set up than many albergues on the Camino, which can tend towards fewer rooms for sleeping (often just one), larger with more bunks, etc, so I know this is nearly impossible to do on a Camino.
TLDR: I do really like the albergue experience on the Camino, and while personally I wouldn't go so far as saying I wish for gender-separate dorms...
@VNwalking 's comment got me thinking.