I suppose it makes sense as a Mozilla project, but what does it have to do with the browser?
I suppose it makes sense as a Mozilla project, but what does it have to do with the browser?
The browser is also the main way users interact with the web, so associating this web security project with Mozilla's browser's brand seems fine to me.
For another thing, the "Firefox" name is more widely-recognized than the "Mozilla" name.
Two additional steps I've read somewhere a few days ago is that the Firefox is going to flag breached sites somehow upon visit (don't know the specifics), and that Firefox Sync users will get alerts whenever they appear in HIBP.
Those are my thoughts as well. Mozilla is like Google, and Firefox is like Chrome. If Google had introduced such a service, it would have be called Google Monitor, not Chrome Monitor. Because it has nothing to do with a web browser.