Primer seating depth

Up until now, I have used my Lee Challenger press for all my primer seating and it is very consistent as far as seating depth goes. All the primers end up just below flush and look very much like factory originals.

Last night, I decided to use the Lee Auto-Prime and I noticed that while being a little quicker, the results were much less consistent. About half of the primers ended up considerably deeper...enough so that it is easily spotted with the naked eye---no close up examination necessary.

My fear is that this could lead to inconsistent performance, light strikes, FTFs, etc. so I am wondering if any others using the Auto-Prime have experienced this and what steps were taken to remedy the situation.

Or, could it be the brass has inconsistently sized primer pockets? It is nickel plated Federal .357 magnum and this is the second time I have loaded it.

As always, any input will be greatly appreciated.

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