Probably more a concurrency.
WFWG3.11 was as capable of accessing the internet. AOL discs would have gone out regardless. There were some driver-layer improvements in the 9x releases, rather than messing with WinPCap/Trumpet Winsock, and maybe you could have less trouble with getting your NE2000 working (if not using a modem]), but 95 wasn't particularly better than its predecessors where it wasn't the old eternal struggle with EMM386 that virtually every (stand-alone, or IPX/SPX networked) top-end game forced their players to know how to reconfigure - and often differently for different games.
The release/inclusion of Internet Explorer for free (compared to paid-for Netscape Navigator[1] or trying to get NCSA Mosaic ported/run on some form of *nix desktop on the same machine) was probably a boon for the web, though. It might not have been as interesting if the everyman's fallback was Lynx in a DOS Window/not-even-in-Windows and they'd probably have been more likely to stick with some readnews interface (whether trn, or OE). And IE was available on 3.x at least until IE4, I'm fairly sure.
My experience of Macs at the time was limited to monochrome classic Macs, and I can't remember any web browser being put onto them at all. I think I only used telnet on them (maybe then I Lynxed off of the server, like I Mosaiced on the X terminals).
[1] ISPs would have probably bundled a group-licenced version as standard, if they weren't happier to just keep their own proprietry BBS/entertainment front-end, as a selling point.
But that's a different off-topic discussion.
Direct reply: Yes, MS got their OSs into everyday use more. Whether it was the original DOS (CP/M) product, Windows once it got to v3(ish), the move to 9x worked (where Bob did not!), and having caught business users up in NT then XP unified the experience (before splitting on Home/Professional lines).
Much as I hated them, the concept of a WinModem (from the hardware vendors, letting them scrimp a little) probably got more people over the line of resistance and newly excited to plug their PC into the phone socket. And I think I'm safe to say that the iMac was Jobs's response, but then so were WebTVs and they really did nothing, in the end, but help make September immortal. Any games-console browsing these days probably owes more to trying to kludge keeping up with computer-based browsing (and these days the browser innyour pocket) than set-top/bottom boxes dedicated to the task. Not that I have much experience with those since the days of Pong.
IMO.