UK Mobile Data for most is unlimited. A few will have a data cap but those will be unlikely to watch videos on mobile.
If "for most is unlimited" you mean "most don't use up all their data", then yes. If you mean "most have unlimited data plans", then see links above.
EDIT: apologies for the statista link, it wasn't paywalling me when I first looked: it shows about 12% have unlimited data.
As anecdata, I cut my package back to 5GB at the start of the first lockdown as my mobil data usage went to nearly 0 since wifi at home and did not run out of data during the last year. I assume anybody who was able to do that done the same.
I very much doubt this is the case given the number of tariffs with data caps