To answer your question directly, yes, you may need to adjust exposure for different colors, but you will need to adjust for black and white. Go less light for white and more for black, however you want to do that.
What the gentelman meant about your monitor is not about how good it is, although that matters, but how well it is calibrated to reproduce the color the camera actually saw, and how it will print. There are way to do a pretty good job using software, but no professional printing service uses software. They use a device called a "spider" that affixes to the front of your screen and uses hardware to calibrate the color by measuring teh actual temperature of teh colors on your screen. You probably won't need that degree of perfection unless you need to reproduce mathmatically the exact color of the product, which manufacturers will demand for printing using CYMK.
Without hardware calibration, you can get almost perfect color using printer profiles and doing a good job with software calibration. But some colors, like one person says, will be hard if not impossible to reproduce when printed. Reds are the hardest to keep natural as the product looks. Also, if you use compression, such as a JPG for web use, you can forget about accurate color replication. You'll get close sometimes and never get close others--such as reds--if you use much compression at all.
So that's about it!