Changing any component will affect the outcome, including primers. Handloader Magazine has done several articles over the years about how different primers affect velocities, and even accuracy, primarily in rifle loads, but it also affects handgun loads as well.
In primers, things that affect powder burn are the length of the flame, the brisance (speed) of the flame, and the length of time of the explosion of the priming compound. Whole books have been written on this subject, but suffice it to say, any time you change a component, it's going to change the results.
Hope this helps.
Fred