Yours sounds like the kind of Club I prefer.
I joined a Club in North Leeds last year and it is as I described. So are the ones nearby when I checked. I joined another Club near York recently and see the same applies. I'm talking about British Cycling affiliated Clubs where they would like you to wear their kit etc, not a group of mates arranging a bike ride by Whatsapp.
My UK Club experience is therefore not a sample of one but several sadly. I get advance route maps, times etc - there are Group Leaders, Group Organisers, AGM's etc. Rides are split into ability levels from 12mph ave to 20mph. They are quite regimented in organisation and ride etiquette.
Yes, outside of the official Club rides, groups do get together for informal rides if they want to - I went on a few myself last year where it is more to my preference.
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Another group with a current Pro often attending leaves every Sunday from a BP garage in Portimao and it's never advertised, it's just an established ride where there will always be a few to a lot turning up.
If you are ever in the Algarve, look up the Velochique Club; mostly UK expats, meet Wednesday and Saturday's for a ride out from Alvor BP. Often a few tourists on each ride.