[G6Tanuki]

In the UK immediately-post-WWII for most people there was only one TV 'channel' up until the late-1950s [and then there were only two... unless you were lucky enough to live in one of the North Midlands areas where you had the luxury of getting both ATV and Granada!] so when TV returned after the War a fixed-tuned TRF was likely to be the cheapest/easiest option for manufacturers wanting to return to the market.

The US preference for transformer-based power supplies is no doubt predicated on their ubiquitous 110/120V AC utility supply: if you want to provide line/frame drive to a decent-sized CRT [by which I mean 17-inches or greater] you need higher voltages than you'd get from simply half-wave-rectifying the 117V supply.

Did any US TVs use half-wave voltage-doubler/tripler HT supplies? I recall that this approach was sometimes used on more-upmarket "All American Five" broadcast-receivers who wanted more audio-output than was achievable with half-wave-rectified 117V for the audio output-stage's anode supply.