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My personal experience. I have a NEC PA241W, wide-gamut monitor, profiled with i1Display Pro. I've been able to print my photos at home for many years, being quite satisfied by the monitor calibration (I used an Epson printer with Epson provided profiles for their paper). I quit only because the printer was slow and needed to be cared about during the process. About one year ago I tried a print lab over the web, and again I was able to get good quality, proving that the calibration of my screen was fine. I used their own profiles to prepare the files.

 

Of course, when I printed I had to apply some adjustments: the colour temperature and brightness had to be adjusted to take care of the viewing conditions of the print (e.g. natural light, incandescent lights, etc...), but I was able to consistently apply the corrections in batch mode. Only less that 10% of prints needed some more special care, but they was the ones with special light conditions (e.g. very dark overall, or very bright overall).

 

I didn't go on with printing only because of costs - the quality was excellent and relatively cheap only for glossy paper, that I don't like. Matte paper was too expensive, and I'm still in search of a lab offering it at a decent price. But this is not a technical issue.