Found that same profile and gave it a try after I posted this thread.
Either Perceptual intent still doesn't work properly, or parts of the gamut contained in that profile still fall outside sRGB.
I tried it first by creating a colour gradient in Adobe RGB (Red values 10-245 from left to right, Green values 10-245 from top to bottom, Blue at 10 throughout, creating a two-dimensional gradient from 10,10,10 to 245,245,10 in Adobe RGB space). Conversion using the default sRGB profile just clipped large swathes of it, as expected. On conversion to sRGB (Perceptual, using the color.org profile), all the colours shifted, many quite dramatically - as expected with Perceptual conversion - but many parts of the gradient were still clipped at 0 or 255 in one or more channels.
I then tried it with several real photos. The results were better - significantly better than relative colorimetric conversion, given that a lot of my photos are highly saturated - but still clipped in areas.