Nope. A web browser browsers the world wide web. A WebDAV file browser just speaks HTTP. No hypertext, no web.

edit: Wow, it's not really that complicated. Please take a moment to stop taking a crowbar to each and every crack and crevice of this argument. It's not about hypertext specifically, or hypermedia, or HTTP, or HTML, that's missing the point. The point is, a web browser is software that browses websites. A WebDAV browser browses WebDAV. WebDAV is built on web technology and can be used inside a web browser, but it is no more "the web" than anything else. A WebDAV file browser is absolutely no more a web browser than the Deno JavaScript runtime is. I can't browse HN with a WebDAV browser, or Deno. Speaking HTTP does not make you a web browser.