You will find, in general that Kodak paper prints both Fuji and Kodak films better than Fuji paper will print Kodak films.
You will also find that Fuji films shot over the years will vary more in balance than the equivalent Kodak films.
Kodak has used a fixed color balance for all films since the 50s, and therefore, I can print at a rather fixed filter pack on my enlarger.
The use of the color checker is ideal however. I often shoot one at the head and tail of a roll to insure end to end uniformity in processing as well as overall balance.
PE