Tib,
The first bird appears to have a large number of juvenile greater coverts still, and looks identical to 1st winter Pied Wagtail to my eyes.
The second bird, another first winter, indeed has solid blackish rump, which is outside of the variation seen in alba. It also has rather dark olive-grey upperparts, so it is definitely more like Pied than White Wag.
Oddly enough, intergrades are never recorded in autumn. Presumably, that is because their plumage looks identical to that of pure birds, alas... In spring, mixed characters become a bit more obvious, especially when you can reliably sex the bird (e.g. when it is singing, or is part of a pair).
So, applying very strict criteria in autumn/winter is a bit futile. I think it is simply impossible to distinguish between pure birds and intergrades in the field at that time of year. No matter how strict your criteria, you can still not be 100% sure. Even with DNA it would be impossible.
With such birds (and with Dusky Thrushes, Black-throated Thrushes,...) maybe we have to accept that we are field birders and that there will always be a slight element of uncertainty. Nobody ever said that ornithology is an exact science.