I believe you're right, beretta9, in a single-primer-at-a-time environment you can use any primer you choose without special concern. This would include all of the single stage presses, including the hand press, and the turret press if you load one primer at a time. I've checked my manuals for the Hand Press and my original Turret Press, and they make no mention of any limitation on primer brands.
It's only for the primer FEEDING devices, where there are multiple loose primers in close proximity, that Lee recommends use of only Win or CCI primers.
It's only for the primer FEEDING devices, where there are multiple loose primers in close proximity, that Lee recommends use of only Win or CCI primers.