This is one of the times someone asked a really good question but not exactly in the right context. Now if you would have asked will the colors I see on my computer monitor look exactly the same when I play a VCD or DVD off my TV I would have answered thusly:

Televisions and computer monitors handle color information differently. It is possible to go out of bounds just like when working with still images if you use RGB to make adjutments to some still image then sent off the image to a printer that uses CMYK color without first adjusting for the differences, you may end up with some pretty gosh awful shades. The typical effect on video is minor blooming, perhaps some bleeding and the worst very noticeable blotchy areas if colors are way out of bounds as far as strength and appear and disapear. Far worse than block noise.

So a qualified yes, you probably will want to apply the broadcast color filter at least sometimes. Easy to see if you need too. Hook up a TV monitor through your digital camera or digital box, now also click on the little downward pointing arrow above the preview window and select Historgram Luminance and watch the video on the external monitor and alternate between watching the histogram.

Vegas will show how many peaks if any fall into the shaded or out of bounds area in real time on either side of the preview window as the video plays. If it is very minor, maybe a few peaks into the shade not a big deal, however if you fill a lot of shaded area, apply the brodcast filter and watch how the peaks get squeezed back into the allowed range.

The key is to watch the external monitor and switch back and forth to histogram view. You can adjust how much the histogram fills out the graph by making MINOR adjustment with the levels filter. I said M I N O R. A little goes along way. Try slowly moving gamma as you watch the overall peaks shift right or left. If the peaks don't fill out the graph and they should not all the time, depends on video, I try to center again being careful not to over do it. All five levels control are interactive and sensentive.

You shouldn't see a lot of change in the viewed image if any, actually that's good unless things are way out of wack. You may see considerable change in the histogram as far as how well it fills the graph horizontality. You don't want to make radical changes in levels to correct things but do experiment while keeping an eye on the external monitor.

Each video of course is different. Most videos look "better" (to me anyway) if the midtone levels (middle section of graph horizontality) have slightly more peaks then the shadows and highlights regions, left and right on graph. That is best adjusted with the color curves filter.