As I recall, the issue with Federal primers isn't so much that a single primer might detonate, but rather that the detonation of a single primer might set off the whole tray.

If you look at the way Federal primers are packaged, I'd say there is probably some truth to it. The packages are much bigger than those for Remington, Winchester and CCI, presumably to keep the primers separated.

I wouldn't be so concerned about using Remington primers. I quit using them because they seat a little bit easier than I'd like, but I think they're safe in the Auto-Prime. Just don't load a full 100 at a time.