So I called on the phone a few days after I made this post since nobody responded to me here, and they were (are) still open for business between 1pm and 7pm.
They are not operating as they did before, where you go in and look at guys behind the mirror. Instead, they send you pictures to your phone of the guys working there and you have to text back saying which guy you want to meet.
The person I spoke to on the phone sent me some pics of the guys who were available on the day I wanted to meet, and I chose the one I liked most, who was a Brazilian called Leo.
I paid £130 for one hour with Leo and he was fantastic. I recommend Villa Gianni and Leo in particular if anyone reading this wants to go there and try it out for the first time.