I don't know. I have used standard Remington, Winchester and CCI primers interchangeably with no problems. I have never used Magnum primers. For the most part I use CCI because that is the brand I have been able to get the best availability and price on.
It is a good idea to approach a primer change with caution and test a few before loading up a bunch. If there is anything I Hate, it's pulling bullets.
I doubt a primer change will result in a dangerous situation unless you are crowding the line in the first place. The hotter you load the more careful you should be, is what I am suggesting.