Well it's really not a big deal to me... But specifically:
I just accept on face value what Edison said about the Xindi and Romulan Wars. It could be twisted a little to fit ENT but the plainest meaning of it is a larger Xindi conflict.
That's suggestive, sure, but isolated bits of odd dialogue aren't necessarily probative. Remember the admiral in "Doctor Bashir, I Presume" saying the Eugenics Wars had only been 200 years earlier? Or Admiral Morrow saying the Enterprise was 20 years old? Writers make mistakes, and sometimes it stands to reason that the characters are making mistakes too. It's been over a century, so maybe Edison's memory of the Xindi conflict is distorted and exaggerated. I did get the impression that his transformations had affected his mind and memory.
Besides, I don't recall what his verbatim line was there. I've seen it reported various ways.
And the existance of the Franklin in the Starfleet production lineage we currently know would require a bit of squinting. It's totally possible to make sense of it, but it doesn't have an obvious and easy explanation. Given the automatic possibility of timeline changes, and the fact that the ENT era would be the most ripe time for effects from the future to make changes in the past, that seems like the more straightforward explanation to me.
Maybe, but NX-01's own existence is something of a retcon already. I'm not sure anything in ENT definitively establishes that there wasn't a Warp 4 prototype ship before the Warp 5 prototype. We don't really know that much about starship development between the NX-Alpha in 2143 and Enterprise in 2151.
Also, word from the filmmakers is that the Franklin may have been a MACO ship. I can buy that the Earth military had its own independent ship development program building on the work of Henry Archer and his team, kinda like how the US military was long rumored to have its own space shuttle that it developed for classified missions (and does have an unmanned space plane prototype that it's since developed).
In the context of the literature, we've already made a similar retcon, positing the existence of the Daedalus class before NX-01. So in the Litverse, it is established that there was a fair amount of pre-Warp 5 starship development going on in the years we didn't see. And in canon, we have evidence of pre-NX-class ships like the "Warp Deltas" and the Neptune class. I don't think it's that hard to fit the Franklin into that period. It's new information, but I don't see it as a contradiction.