My reading of that section (specifically s6(4) which has the exemptions) is that because persistence or otherwise is not mentioned, it's not relevant.

The only slightly obscure thing is it refers to "provision of an information society service". That appears, from the full text of the directive, to be a vague thing semantically equivalent to "an information service". Therefore, anything "strictly necessary for the provision" of one of those is exempted from the explicit consent bit.