I had the same experience at the Exeter Travelodge. They even moved me into the disabled room which had more space for it.
And when I checked in to the Ibis just behing Euston Station I brought my bike in with me. I They didn't bad an eyelid when I leant it up next to the desk.What Travelodge and Ibis have in common is that they are modern, spartan hotels with fuss-free decoration, lifts and uncomplicated corridor layouts.
We stayed in Yorks Premier Lodge last year with a tandem. The bike shed was being used as laundry storage!Not a problem though as they let us use a door behind the kitchen that was locked at night.