Each combination of printer & paper & Ink type needs a separate profile.
It is alleged that manufacturers change recipes for ink and paper, and some people advocate reprofiling inkjet printers regularly.
However..........advice from calmer sources is that you only need to reprofile an inkjet printer when your eyes tell you something has changed. Obviously this is most likely to be noticed after you change paper or ink supplies but not every time you replace an ink cartridge or buy an new box of the same paper.
Although Inkjet printers are rather non-linear it is believed that they are relatively stable (they do not vary so much with time). Laser printers apparently behave differently.
Inkjet printers do have a habit of misbehaving when their nozzles are clogged-up.
This is sometimes only noticeable either because the print colours are strange or by
using a magnifier to search for "banding".
I recommend using the printer utilities to make certain that nozzles are not blocked (plain - inexpensive! - paper is OK for this), and any nozzle alignment utilities before printing the targets. If the printer is malfunctioning while the target is printing then the printer profile may be impossible to create or just plain "wrong" (unless the printer malfunction continues indefinitely).
The targets need to be printed without your PC software or printer drivers adding colour management controls or adjustments to them. I prefer to do this from Photoshop because Photoshop is VERY explicit = when you tell it "don't colour-manage" it really does follow your instructions!
If you are using a "RIP" package other than the printer driver, of course, leave this as part of the workflow, with any adjustments you are happy with, but remember that the printer profile will assume that you have changed nothing in the workflow between the time you created the profile and the time when you will be using it.
By this I mean: if, for example, I am using Ilford Galerie Classic, I follow Ilford’s instructions and select "Epson Glossy film" in the printer driver, but I do not follow the "-5 magenta" instruction, I simply turn off all colour management. options in the printer driver.
Again, for example, if I am using Hahnemuhle William Turner (a coated matte "art" paper) I select "Epson Matte Heavyweight".
I am told that selecting the "paper" in the printer driver affects the quantity of ink which is squirted at the paper during printing.