Games that can be played in the browser, I might give a go as long as they sound remotely interesting. A lot of browser games I'll only play once or twice though, thinking "neh" or "yeh" to myself before moving along. This also goes for games that I find quite good, and might have played more if I had them installed locally.
For more in-depth games, I prefer a local executable (or installer), for the reasons getter mentions, as well as because of the fact that I may now and then not be online (or on a slow line). Again like getter, I don't use ssh, and I'm not about to learn how to do so just to play a game (unless it sounds uniquely awesome).
For a 7DRL, web-based seems ok to me, but the thought of a more serious or exstensive game playable only through a web interface is a turn-off for me personally.
As always,
Minotauros