I'm not sure of your numbers you're measuring, but the dye inks HP used as Vivera were the richest blacks I'd seen. Also in the Z series, it is a very deep black.
When pigment was introduced, one of the hurdles was getting a deep black, and they(Epson/Canon/Hp) fixed that on the following rounds of the intro pigment printers. I still have a dye HP with super deep black, but I don't care enough to measure it against my z3200. My eye tells me the z is a very deep black also. So I know what you mean.
I think I have seen just as close a black like the HP with Epsons. Maybe someone measured it and it is even darker, I can't say/?
I don't know if I have seen Canon with such a deep black, as my exposure to Canon prints of such is limited.
To your Q....
Your ICC profile maybe limited by the inkset(?) I don't know the Canon Pro10 or 1. But it could be the ink set/?
Its the second next place I'd look after a few tests like you're doing.
When I see the black come off the HP, I think to myself "that looks like the 'richest' black I've seen".
Not sure if the above is helpful...Others who have solid tests may be much more help to us both, but you may want to prepare yourself for different expectations.