I'd be interested to see any practical applications that demonstrate these statements, and also comparisons of energy use by a trolleybus and by a tram of the same size. It was reported that the GLT/TVR that ran for a while in France used about 50% more energy than a tram equivalent, presumably because of the inefficiencies of rubber tyres.
A tram is of course far more efficient in terms of energy used. But it is also significantly more expensive and far more disruptive and time-consuming to build. Another point is that a trolleybus can be used as a stepping stone to a tram. Once you have the electrical infrastructure for the trolley supply, it is relatively easy to convert to a tram at a later date if necessary.
That infrastructure is worth it if you are running long tram vehicles, but otherwise you can get very close to that with bi-articulated trolleybuses.
In European parlance, a trolleybus can be considered to be between bendy buses and trams on the hierarchy of modes. If you are running a bendy bus at 8 bus per hour frequencies, it is probably worth electrifying. Any higher or if routes overlap, even more so. At 2 or 3 minute intervals you then probably need a tram (yes, I think London needs more trams too).I agree a trolleybus will be inherently more efficient than a battery or diesel bus. My concern is the size of the niche between self-powered buses that don't require any infrastructure and are therefore most cost-effective at the low end (and probably getting more so at increasing passenger numbers as technology advances), and trams that are both most energy-efficient and most cost-effective at the high end of passenger flows. This niche may be small and could even be of a negative size!
The relative lack of new trolleybus operations in recent decades, compared with a minor boom in trams, suggests that the trolleybus isn't competitive even in countries where the deregulation issue doesn't muddy the waters. And for most of that period the battery or fuel cell bus wasn't a viable technology, but it is becoming so now.
When looking at overall efficiency, yes a trolleybus has more hysteresis losses in the tyres, but installing and maintaining tram rails also has a carbon cost, which at lower demand levels/ with shorter trams is questionable.
The other situation where trolleybuses prove their own is on routes with significant elevation changes. The speed of a tram on steep gradients is very limited, particularly downhill, whereas trolleybuses (because of their rubber tyres) do not have this problem.
I think battery buses do have their place - but mostly on suburban routes or "all round the houses" routes where the frequency is low or the distance travelled by a bus per day is small and the weight issue is not a problem.Some countries are buying large numbers of battery buses. Is that wise?
But a city like London should be looking at more efficient options too, as the fixed infrastructure needed will pay for itself extremely quickly. Anywhere with 'high' frequencies would benefit from some form of transport with infrastructure (be that a trolleybus, tram, or even heavy rail)