Using a properly calibrated monitor is the only way to know what your seeing is an accurate representation of the footage (regardless of the final destination of the project). Even when I worked for a company that did primarily web content I still preferred using my a broadcast monitor if I was doing any color grading to the work. Computers aren't going to have the same display characteristics as TVs and I would make compensations for that but in using the broadcast monitor I always had confidence that the decisions I made were based on what the footage truly looked like.
You also never know when someone will want to broadcast your work, ask for a DVD, want to watch it on TV in some way, etc.,. Keeping broadcast in mind (action & title safe, colors, GFX, etc.,) from the get go will make things easier down the line if someone does want to get it on a TV. Comedy Central used to have a show called AtomTV that was a showcase of user content submitted to atom.com (which has since been totally absorbed by Comedy Central) and some of the shorts picked ended up being ultimately rejected because they couldn't, or couldn't easily, be made compliant for broadcast. I always felt like it was a shame for someone to miss out on having their work aired for technical reasons that were pretty avoidable.
Ultimately I know it comes down to what people can afford and I think everyone should strive for the best they can do. Not only in terms of quality of work but in terms of quality of gear especially when it comes to video and audio monitoring solutions. How can you make informed decisions about the quality of your audio or video if you the monitoring devices you are using aren't giving you accurate representations of what's going? If the best you can afford right now is a mid-range Dell monitor then that's the best you can afford, but you need to realize the limitations of your gear and try and find alternative methods to check their work. Some people will burn DVDs for playback on a TV that they've calibrated to the best of their ability and check things that way. That's cumbersome and not as good as a broadcast monitor but it's better than just relying on the computer monitor. I've also heard of some colorists offering packages where they will color X key shots in your project for you to use as reference frames to color the rest of the project yourself.
Lethal
