74man...I too load Berrys' flat nose plated projectiles for my 38/357, 40 and ...I get what your thinking..I have had them start to go in crooked, or some get the plating caught on the mouth of the case and de-laminate the plating or tear the mouth of the case...what I get by with is, flaring the mouth a bit more, deburr the mouth of case, setting the bullet in straight helps, instead of letting the die try and straighten it...and sneak up on AOL a bit at a time..I also use Lee dies, and from the look's of it, it is cupped inside...guess that would be for round nose..at the start of dialing it in, I will inevitably screw one or two up... you hang in there...
Pray you and yours' are well...