Sentence:  Such a reading would not in any case explain its author's use of the frequentative tense of the verbs, which indicates that he did not understand Josiah's action described in v. 8aα as such a one-off measure, but rather, we must presume, as making provision for these now <WSD>altarless</WSD> priests to exercise their priestly office at the altar in Jerusalem, should any of them wish to do so. 
Meaning of the word marked with <WSD> tags:  Having no place to hold religious services.