I think back in the 1800 's ( when this "bibles in hotel rooms "all seems to have started ) travelling far from home was pretty much unknown, the working classes couldn't afford to stay in a hotel and the middle classes probably did read a bible often because religion was perceived as part of that educated refinement. Heathens were perceived as uncouth and savages.
( or you could argue, the possibility of more travel was just starting out)
I think in those days, the bible in hotels had some purpose.
It was there if those who could afford to travel forgot theirs and was intended to bring comfort and a sense of familiarity to people away from home.
It was a different world.
Most working class families didn't get family holidays where they went away, if they were lucky mum might take them hop picking, but that was work too.
So in those days, leaving and having to be away from home was considered much more traumatic.
We live in different times now, the comfort of the familiarity of the bible no longer applies to the vast majority who hop on a plane to the other end of the planet, almost without thought.
Plus the bible isn't a symbol of familiarity it was years ago, when just a trip in the uk took a lot longer.
They haven't always had cars for example and being away from home was a lot more unusual.
We've outgrown the reason for the custom IMO.
I think a lot of what you say is right - we have certainly outgrown the custom.
But the problem is that the Gideons are phenomenally well organised and well funded so no doubt they simply appear at hotels with further bibles for distribution and it would take a strong hotel manager to simply say 'no' when they have taken them for decades. It is a kind of passive bullying in a way - simply expecting what has always happened (which is let's face it a favour by the hotel to the Gideon's) to always happen.
So hotel chains (just as Travelodge has) need to say 'no - we aren't going to take these bibles and distribute them any more. This isn't appropriate in the 21stC and it does fit with our business model nor with what our customers want as a service'.
But I guess some chains will be scared of the hyperbolic media over-reaction just as we saw for Travelodge. The response beggared belief. Here is a situation where a hotel chain does a favour to an evangelical organisation, without any requirement so to no, nor any requirement that a bible should be in any hotel room. Yet when they decide not to do it any more they are accused of 'banning' things - they never banned anything, because there was never an obligation to provide the bible in the first place.