Fury's claim to the lineage existed by 2018 only because AJ and Wilder never faced each other. What if they did in March 2018? The winner would be the undisputed, Ring & TBRB champion, with Fury not being ready to come back yet. Once he's back in June 2018, would you consider him having the claim to the title? Would it be another Frazier/Ali 1970-1 situation? Would the winner of AJ and Wilder create another lineage? Would he be THE champion and Fury only a contender in your eyes?
I guess if a boxer has a "lineal" claim, he has it for as long as he doesn't lose, even if he retires. He can come back and claim the championship. But that's not to say another boxer can't be regarded as having starting another 'new' line. And that part is more subjective. It's worth noting the "lineage" Fury claimed goes back precisely as far as Wladimir Klitschko. When and how Wladimir acquire it is subjective.
Wlad has so many points in his career he could have become the lineal champion spanning from 2008 to 2014 that the consensus was so strong, he was being called undisputed champion after Vitali retired. Similar to guys like Sullivan, Charles and Holmes.
My opinion on this issue if champ A retires, champ B is named and champ A returns you have two lineages. And champ A will either fight champ B or they will either retire again or lose to someone who will fight champ B. Either way the situation usually resolves itself shortly and you've got one lineage again. Though this generation of ducks would have challenged that logic. Fury being only 27 when his absence started had the potential to be a pain for a much longer time. A potential he realized despite his return. The Ring were in "not this **** again" mode after the whole Vitali Klitschko thing and were going to wait as long possible before replacing Fury. Who had yet to turn 30 and had been gone less then 3 years. With Tunney, Louis, Marciano and Alis exile whether or not the old champ was coming back the Ring waited for all other claimants to be out of the picture. In 1930 while the IBU still had a champion they had named Schmeling champ and had stripped both him and Uzcudcin without losing and Schmeling had beaten Uzcudcin. Holmes eventually beat Ali but before Alis return they gave him the belt once Weaver became the WBAs champ as Holmes had beaten Weaver. In March 2018 Parker was WBO champ and Luis Ortiz was an undefeated former interim champion then AJ and Wilder beat them. March 2018 was really where the conversation to replace Fury would have started not when it would have been done. And of course Fury returned shortly after. If Wilder and AJ fought in March 2018 then Parker would be still be WBO champ and Ortiz would still be undefeated. While AJ v Wilder was strong enough to be for the lineal title the Ring was mainly waiting for all other alternatives to be off the table. So even if Fury were to return then its just one matchup.
The Ring would have crowned the winner of AJ/Wilder the champ, as they were number 1 and number 2. They were even thinking about putting the belt on the line during the AJ/Parker match, as they were number 1 and number 3. The consensus started to form around AJ them too. But then, Fury returned and since the champ wasn't crowned, all ways to the championship went through Fury. Funny enough, The Ring refused to put their belt on the line during the first Wilder vs Fury fight, as AJ was their number 1.