A lot of girls rent or share an apartment to work in so not strictly their own home. But it at least has one or two personal touches often as not. If a girl is paying for a hotel room, often as she's on tour, then for some people it might seem more clinical (for me, it just makes me more aware that she has to cover travel and hotel overheads out of her fee). I much prefer a local lass that lives and works in her own home, although it's rarer these days.
As for security I don't think there's much in it. The police can't bust the girl directly (if she's working alone) so not much danger for the punter with a regular-type prossie; they do however have 'purges' every so often when they feel like it-- at least they have in Scotland. The way they do it is to have a 'quiet word' with the hotel manager along the lines of, "Did you know there's a prostitute staying at your hotel?" -- after which she gets kicked out, even though she's not done anything illegal. Similarly with rented flats, though a bit harder, sometimes by making 'enquiries' to the neighbours, that usually gets them hassled so much that they move. These things are relatively rare though, when the police have fuck all else to do. So not worth worrying about really I think.
Some hotels are easier than others for entering discretely. Bear in mind they are not really interested in her visitors unless she's being OTT (10 customers a day or needing five times as many towels). You wouldn't worry if you were meeting someone for a normal business meeting so treat it the same way. She'll give you directions on room number and ask her where the lifts are if you feel nervous. If reception asks if they can help I just say, no I'm fine thanks.