Is it ok to leave relay module permanently connected to mains power?

Short answer. No.

My advice would be to contact a qualified electrician, familiar with the wiring regulations and relevant safety standards for electrical installations in your country (i'm assuming the UK). Especially as this thing is going to be used in a public space.

Also I would treat the specifications and certifications shown for that module as highly suspect.

What kind of loads are you talking about? e.g. If you're switching an inductive load, the inrush current could be seven times greater and would probably fry those relays.

Seriously, contact an electrician.