Yes. Rifles generally shoot at higher pressures than handguns do, so the rifle primer cups are generally thicker. The firing pins for higher pressure guns are generally are assumed to have higher striking energy than, say, a target pistol firing pin, and the extra energy strikes through the thicker brass cup better. That said, a board member claimed to have got from CCI that their standard small rifle primers and their small pistol magnum primers for higher pressure handgun cartridges had the same priming mix and cups, and that they were interchangeable. I have not confirmed this, but you are welcome to ask them.
The comparison to a magnum primer means the rifle primers will make a larger volume of gas, though they sometimes do it more slowly. In some testing this reduces pressure and velocity and in some it increases both. I recommend working the load back up from about 5% reduction when you change primers. When you have adjusted the powder charge to produce the same average velocity as the original primer produced, see if the velocity SD for at least ten rounds (20 is better) over the chronograph has increased or decreased as compared to the original load. SD is a very telling number in that if, for a given velocity, it gets better, your ignition is more consistent. If it gets worse, ignition is less consistent. In a handgun you don't usually mind that velocity varies a bit from the standpoint of what the bullet does at impact or how well it shoots from a machine rest. What is a practical concern is that wider SD's mean the total lock plus barrel time is varying, often more than is proportional to the velocity variation. Ignition delays, in addition to barrel time increase, that are on the order of the lock time of the weapon can occur if ignition is erratic. That's enough time for small disturbances in your hold to make a difference to group size and shot placement on the target.