I've been reading what the comprehensive rules say about Sagas and I think I've noticed an error in the rules.
714.2b “{rN}—[Effect]” means “When one or more lore counters are put onto this Saga, if the number of lore counters on it was less than N and became at least N, [effect].”
That means Sagas have an inherent intervening "if" clause. If that clause isn't true at the time of the listed event (namely, a lore counter being put on the Saga), it won't trigger at all.
714.3a As a Saga enters the battlefield, its controller puts a lore counter on it.
This is where I see a problem. The "as" wording means that there is a replacement effect applied before the Saga enters. This is supported by 614.12:
614.12 Some replacement effects modify how a permanent enters the battlefield. ... To determine which replacement effects apply and how they apply, check the characteristics of the permanent as it would exist on the battlefield...
If a Saga enters the battlefield with a lore counter on it, then there was never a point when the permanent it became had zero lore counters on it. Because of that, the "if the number of lore counters on it was less than N" of the rules is not satisfied (N=1) and the first chapter ability should not trigger.
Am I off base here?
I posted this question before the release of the Read Ahead mechanic in Dominaria United. The existing answer claims that the "put on" wording in 714.3a. But this excuse is not possible for Sagas with Read Ahead:
702.155a Read ahead is a keyword found on some Saga cards and represents two static abilities. The first ability is “As this Saga enters the battlefield, choose a number from one to this Saga’s final chapter number. This Saga enters the battlefield with the chosen number of lore counters on it.” [...]