My experience is mostly based on outside the UK, but it might help.
Our first night away was at the Premier Inn in Gatwick. I decided not to ask, but instead just checked in, leaving J outside with the bikes, and then we brazenly wheeled them through reception. Only to find the lift was tiny, so we had to tilt my bike on its back wheel and take it up, while J stood 2 metres from reception, trying to look inconspicuous, until he could do the same with his bike. But noone challenged us.
Once in Europe, we would sneak them in if we could. And a lot of the Etap hotels in Europe let us take the bikes in - some even suggested it, and others were nonplussed but then let us do it once we asked.
It's a gamble, basically - if you ask, they might say no, and then you've got a problem - but if you don't you might piss them off. But actually, in retrospect, noone ever said no. Usually, though, we just asked if they had somewhere secure and they would put them in a cupboard or a garage.
I'm not sure how helpful that is! I don't think there's a straightforward answer - each manager will have their own view. But you have a good chance of getting away with it.