So, that was an interesting experience.
Among the suggested bikes there was indeed a BMC, which was largely expected. To my surprise, despite them being a stockist, I was advised they won't be able to get their hands on a BMC bike for 6 months with chances of even having to wait until 2022, so that was a bit of a let down.
Having said that, it turned out to be a true blessing in disguise, as I found and bought another one of the bikes they suggested in my size in stock at a local bike shop. Similarly specced (maybe even a tiny bit better), in a colour/finish I like more, it comes 500 quid cheaper, with longer warranty. And, most importantly, it's available NOW
Very difficult market though. I think I got lucky.