THe call logs were, and still are not complete in the sense that he may have used burner phones, or other people's phones, and we have other people who have said publicly that they spoke with him during that period ( like Jordan ) and we have no record of it. What else would a log be for?, and when calls happen and they can't be logged, that doesn't mean they are complete.
You wrote the phrase, " It was an intentional and obvious lie." , that might be your interpretation of their intent, the article you posted explains it differently. They wrote in that article that it was more a matter of his location. but that does bring up a few questions:
The presidential records act, first paragraph:
§ 2201. Definitions
As used in this chapter--
(1) The term "documentary material" means all books, correspondence, memoranda, documents, papers, pamphlets, works of art, models, pictures, photographs, plats, maps, films, and motion pictures, including, but not limited to, audio and visual records, or other electronic or mechanical recordations, whether in analog, digital, or any other form.
That law was enacted after the Nixon admin. You only get one guess why. I admit immediately that I can't be sure, but if I speculate as much as you do as to his intent, he chose to move to another location to avoid being monitored. That would be a violation of the PRA, and just plain sneaky. The phone call logs and other records are recorded for a reason that has as much to do with honesty and transparency as it is about historical artifacts. It's possible trump evaded detection during that time in order to conceal his actions.