In my experience no difference at all driving single or double deck vehicles.
Each to there own opinion though.
For most of my driving career (Yorkshire Rider/First Todmorden garage 1988-2003) the single-deck portion of the fleet was sufficiently different for there to be no mistake. Apart from minibuses, there was just a single Leyland Leopard allocated, which was not only a completely different beast to the Olympians that formed the double-deck fleet, it had specific duties and rarely strayed from them. Also, we had a fairly limited route network with no low bridges on service routes, although there were low trees in some places. It would only be in case of an ad-hoc diversion that there was a possibility of encountering a low bridge, the one one the A58 at Littleborough being the obvious example.
Moving then to UK North, they did mix modern single and double-deckers to some extent, and it might have been a slightly higher possibility, but a glance in any of three mirrors should have soon put you right. Even though their schools routes covered quite large patches of Greater Manchester, I can't recall any that used single-deckers due to low bridges.
On a more general point, what always concerns me about these incidents is that they only seem to be investigated as a criminal offence (which indeed they may be) or as an internal company matter. There is not the equivalent of a RAIB investigation to determine the actual cause, be that fatigue, distraction, lack of local knowledge, bad signage or whatever.