So if am developing a raw file for print, it makes sense to use a calibrated workflow. But if most browsers ignore the monitor profile (even if they recognize the image profile buried in the image) then I too should develop my images on a monitor that is using its standard uncalibrated (sRGB?) profile?
Yes to the first - use a calibrated workflow.
However, when you post images on the web you're in bandit country, as most people use uncalibrated monitors and use browsers that don't "do" colour management anyway. That means it will look slightly different on every (uncalibrated) monitor in the world. However, most uncalibrated monitors are very roughly
sRGB colour space and tone curve. There's no single "look" of an uncalibrated monitor and browser - they're all over the place, but the average is somewhere vaguely close to sRGB.
So the best thing is to convert to sRGB before uploading to the web. But you're still best off reviewing on a calibrated monitor, IMHO. That way, what you see is right, and will be roughly in the middle of the huge spread of possible monitor renditions. If you use an uncalibrated monitor yourself, you're merely adding yet another error in your monitor to the error in the uncalibrated monitor viewing your web page.