Even if you don't reference it, this vision of Batman and his origins is firmly entrenched in the public consciousness. If we separate from that, we invite comparison, and if we have something that's not every bit as successful and resonant as Baleman, we are on the losing side of that comparison, which drives away business.
Dude this is faulty logic. There will be comparison anyway because it's a character that will go on forever and have many interpretations. With that scenario; comparison is impossible not to exist. People compare to this day all the different interpretations yet have no trouble following them or enjoying them on their own merits.
Batman has been interpreted in media for over 60 yrs now; EVERYBODY knows him; he's the most popular superhero of all time at this point. Present an entertaining vehicle with him and it will find an audience. The movies from the previous film series were "firmly entrenched in the public consciousness" when
Batman Begins came out and BB still found an audience.
Every year there is a new animated movie starring Batman and it always remains amongst the best sellers for WB animation despite all of them not being in continuity with each other. The majority of audiences for these animated movies are just general people and not comic book fanatics.
The reason reboots work is because they work in a vacuum, after a franchise has had rest and the new version is assumed superior. That can't be assumed when rebooting a billion dollar franchise. James Bond is a good example in that it went on successfully for several decades changing actors without changing the storyline. Soft reboots, sliding origin timelines. Batman is a character that could benefit from such a format, rather than inviting comparisons that come with a reboot.
James Bond is a bad example because it's a franchise that drove itself into a corner by always limiting it's scope with the rules it kept establishing for itself with each film. Let's be clear here with an example
In the last Bond iteration
Felix was dead
Tracy Bond was killed
Q was replaced
If by chance someone wanted to tell a new story involving any of those 2 frequent supporting players as anchors to the plot or if you wanted Bond to get married again you couldn't successfully pull it off. You couldn't tell the stories because either the character's are not in around anymore or cause Bond getting remarried would seem redundant within the same continuity considering his outlook on such a thing post-Tracy's death. Limitation.
Where as in this new iteration that began in 2006
Felix is still around
Bond has never married and Tracy doesn't even exist
Q is about to be introduced
You have the freedom to play ball with all those elements again without worrying about contradicting stuff that came earlier & throwing the tone off. One of the reasons
Living Daylights and
License to Kill couldn't work on their own merits with most people was because you had to believe the Dalton Bond was the same guy as Connery or Moore at some point and they are just way too different for that to be truly plausible without angering some people.
Make it clear that it's something that is establishing something new and bringing a new spin to the tale however like they did in 2006 and people are more open to it.
People will get over "Baleman" the moment something "new and shiny" hits so long as it entertains them. You think it's a coincidence that Sony didn't just go ahead and make a Spidey 4 with a new cast & crew? from a creative standpoint it would do their new director and writers no favor having to adhere to previous continuity despite how successful that continuity was. Because they could never truly tell the Spidey story that is really in their heart due to lack of freedom.
So there is no need to be confined to the continuity of previous movies regardless of how successful they were at their time. Characters like James Bond, Spider-Man and Batman are successful intellectual properties now. Pop culture staples that will go on forever. You don't have to depend on anything but the character himself to sell the product anymore.
In the long run it's healthier to reinvent franchises and adapt them to the sensibilities of audiences of THAT current generation then have them vaguely connected to each other and thus limited by the continuity of previous films. It's just much more liberating creatively and increases the chance of getting a better film out of it cause the creative minds could really do what they want without having any real laws of "respecting continuity".