Doesn't Safari have the same relationship to WebKit as Chrome to Chromium? What's preventing other browsers to use WebKit instead of Chromium and make the open source browser engine competition a bit more lively?
I would assume that the answer is that the incentives for competing that way are small and maintaining a browser is expensive?
You would have to rely on donations. Which gives me an idea that probably already exists: a kickstarter/patreon alternative for recurring donations. Recurring donations won't start until there are enough for continuous funding of the project.