Even if you get a " sooper dooper " monitor then you have to get " sooper dooper " profiles and a " sooper dooper " bang up to date printer. if you are outputting for the web then viewers won't have a " sooper dooper " monitor as good as yours. It is all problematic and to say the least expensive.
If you get a sooper dooper display like the SpectraView, you're getting a super duper display profile!
You might need profiles for output, maybe not. Epson for one supplies superb canned profiles for their papers. Other's can as well. YMMV.
But yes, sending images through the web means that you have to accept some poor slob who's got a 1994 CRT display that can't hit 67cd/m2 and the most neutral image will appear with a color cast.