On our site of 200 + plots, we've sort of found out roughly 4 from 5 avoid weedkillers, 3 out of 5 avoid pesticides. Don't really know the fertiliser split, although we sell far more of the organic BFB etc than Growmore.
New plot holders tend to be more likely to use weedkiller and/or an initial rotovator to get over the hump of the first dig, including paths, which is sometimes quite daunting. Expedience is the initial driver given the state of some of the plots. As people get into it and get their plots under control, other methods come to the fore, as knowledge increases and people clock all manner of ways of dealing with the weeds, and of course they make invaluable compost when rotted down . There definitely seems a desire to gravitate away from weedkilling, rather than toward it. Cardboard seems very popular, carpets almost a total no no these days, but weed suppressing woven groundcover seems the favourite. Woodchip mulch is the preferred method for the paths for all sorts of reasons including worms, but that depends on when free bulk deliveries arrive. I think someone on here was going to try using prolific green manures on their paths to smother weeds. That sounded an interesting idea.
