Firefox is slow (especially on Linux) when compared with Chromium. The Firefox UI is more complex and not any more powerful; the excuse used to be that they supported more deeply-integrated extensions, but that's mostly dead now. With regard to "dominance over the web", Firefox is riddled with compliance bugs and misbehaviours, many of which go unaddressed for years, these bugs and incompatibilities have forced me to disable features for Firefox users, or find workarounds, over the years.
> Also, where is Brave’s innovation? I see none. Instead, I support Mozilla.
Where is Mozilla's innovation today? They maintain a broken, slightly-differentiated Netscape clone, and have an unmistakable chip on their shoulder; but there is no substantial benefit to using Mozilla, and there are some serious drawbacks that Mozilla could avoid if they cared. Brave is at least doing something interesting, with an innovative compensation model which has some hope to reduce reliance on surveillance-driven advertising, and they put a Tor client in the default distribution (even if the browser does not implement some of the anti-fingerprinting measures that Tor Browser does).
On top of this all, Brave is differentiating on what matters, rather than taking up the pointless task of maintaining similarly-licensed, lower quality implementations of various web standards. If Google gains power over the web with Chromium, in some vague way, then Mozilla's power move would be to base Firefox on Chromium (or at least fork Chromium). Rust is a spectacular thing they've done, but at the end of the day, any argument for using Mozilla should begin with a long list of positive characteristics of the product, and not with vague platitudes about implementation diversity.