I have a different opinion. Since this projector has 3200 lm, I think it is much too bright for a home cinema (in terms of black levels, colour fidelity, etc.). Unless it should be allowed to be bright in the room, which should not normally be the case in a home cinema.

Yes, that is possible in principle. But define "small home cinema"... Room size, desired picture size, Full HD or 4K support, table or ceiling mounting, etc....