GoodTwitter2[0] is the only reason that I still use the web version anymore. I can handle the mobile interface on a mobile device, but making the desktop experience mobile-themed was the straw that almost broke the camel's back. GoodTwitter2 mostly fixes that, thankfully.
The userscript also fixes the reverse-chronological issue. There's literally a setting that enables one to force "Latest Tweets First" mode, so it'll switch back to the "latest" feed whenever Twitter has decided that you should be viewing their "home" feed instead.