Well, it sort of does still apply. You're unlikely to get a speeding ticket if you're driving within 10% of the applicable limit - not because the authorities like to be lenient, but in recognition of the inherent inaccuracy of the speedo design (same reason the legal tolerance for speedos is 10% @ 30mph and 70mph). So, whilst you may be driving at 77 with your speedo accurately showing 77, someone else could be driving at 77 with their speedo showing 70 and the authorities have no idea if you're knowingly speeding or not (despite both speedos reading within required tolerance).
Tread depth isn't a red herring, it's merely one contributory factor to the inherent inaccuracy of speedos. Re tyre pressures, I was referring to reduced pressure due to lack of maintenance, rather than deliberately running tyres out of spec, (though there are also those who deliberately run their van at lower pressures in order to to gain comfort).