The fact that Chromium also saw fit to patch this suggests further that there was likely some way that it could be tricked into issuing queries that did this, allowing some compromise of the browser. If this could have been triggered by a web page, then that explains why they are light on details.
It should be noted that a lot of applications embed SQLite internally. If one as well studied as Chromium could be tricked in this way, I'm sure that others can as well. And since the upgrade has to happen to an embedded component, we're probably going to hear about this one for a while.
Please note, this is all educated guesswork from knowing the software ecosystem and reading release notes. I have absolutely no knowledge of the vulnerability.