On the Canon Printer, make sure you are using a Paper Type that represents the Black you want to be using (Matte Black, Photo Black)
Special 1-5 and Special 6-10 are known Matte and Photo settings (I forget which is which but their are 'known/True'.
My best 'matte' black ever was the Epson 9600 with the Matte Black Cart installed. It was 'really' a thing of beauty. Especially during a time where pretty much everyone knew you couldn't get a 'good black' on matte media. But the combination was quite impressive. It really wowed me.
Other will chime in with your comparison but still, you need to verify you 'are, in fact' using the type of black you 'think' you are.