Hi Jordan,
Yes you are right, "Ahrefs and Majestic focus more exclusively on furnishing a complete backlink profile" , but it doesn't seem to be right with the context you said that "our focus is specifically to provide data about your highly-authoritative backlinks"
As I can see many many direct relevant & high athoritative domains they have linked with, it is not right you to say that we only follow to show highly-authoritative backlinks only, which is wrong in this case. What I can agree upon you as said "your campaign for that site has only been active for one index update" because as this domain is relatively new to the industry and there would be many chances this might have not fallen under your update during process.
Regards,
Ram Babu