so far so good...
Yup although unvented cylinders usually have a pressure reduction valve on their input from the mains, that will usually limit to around 3 bar (assuming your mains pressure is that or more). That will be significantly more than available from a gravity fed system in the vast majority of cases.
The actual process is fairly trivial it has to be said.
Unless you have menopausal toilets with hot flushes, they are unlikely to be fed from the hot water cylinder :-)
If you replace gravity fed cold feeds with mains one, then yes you might get a problem of that nature - but it is pretty unlikely IME. (you can also get far more noise from old ballcock style float valves when fed with mains pressure)
It will work, but the flow rate will be more limited than it otherwise might be. It will depend a bit on the incoming pressure. (higher supply pressure will compensate a bit for smaller diameter supply pipes)
20+ lpm is good and will probably run a couple of adequate showers at once.Most unvented cylinders also have a pressure balanced cold mains output as well as the hot one, so you can feed both sides of shower mixers from the cylinders PRV if you want.