Upload & Sell: Off
While there is much the printer and its ink doesn't cover in the magneta/purple/violet areas, there is a massive amount of greens, blues, yellows, oranges, and reds, that sRGB doesn't come close to.
Agreed, but when we view this plot in a browser we're using the sRGB space. Which means that the actual colors that are visually depicted as being outside sRGB are really inside. Yes, there are colors that are outside, just not the actual ones shown. What we see on the screen is indicative of how those missing colors will reproduce on the print, though, assuming that the file you posted was sRGB and that we're viewing on a display capable of displaying 100% of sRGB.
As a side note, the transitions in sRGB can be smoother than AdobeRGB because the colors represented by the integers are closer together. Whether this is the case or not will probably depend on whether the image was converted from AdobeRGB to sRGB, and also on the conversion method. Processing from raw directly to sRGB will, in theory, tend to produce smoother gradations than processing to AdobeRGB and then later converting to sRGB. For example, blue skies can sometimes be problematic after conversion, especially if the AdobeRGB colors were 16-bit and the sRGB colors are 8-bit.
All that said, if it's important to depict colors with 100% accuracy, and if those colors lie outside sRGB but inside AdobeRGB, and if the output device can cover the AdobeRGB space, then that's definitely the way to go. For what I do, that doesn't arise often, so I usually stick to sRGB from start to finish.