For somebody which has a Verge X 20 .... a Dahon Ani Replica.... a Custom MU 18... a 20th aniversary ltd edition superlight helios SL ... in stock ready to sell .... the OP could be a dream customer....
and yes it would be usual to say.... NO PROBLEM ( just go ahead and buy one of these from me )

BUT....
the question is loaded, as Pacific has explained to us in detail ( well done) what group rides could be.... and in those groups are subgroups which would make the determination, even more difficult.

If you see one of those group rides and havent ridden fast and for years itmakes not a hue of difference what bike you bring to the start line, you will be dropped and most likely bullied. Thats one reason I absolutely hate most of them. Bike shops have those, so they can sell more and more expensive bikes .... plain and simple.

Than it almost doesnt make any difference what bike you have.

However, if you are riding those and get good speed, and not being dropped, and you just put a little more effort into the whole thing ( and a couple years of agony ) than you might as well ride a high performance foldy ....

impossible with a standard low quality one, but again there are rides which are family orientated and free of bullies, and those you can obviously ride with any bike...

Best Thor