I'm new to reloading and just barely picked up this same Lyman press. Thanks for the video. It helped me see better than others on how to get the dies all set up correctly.
Be careful with Lyman dies. They are out of spec and usually stick the cases. I have used Lee for 30 years and TRIED lyman 2 die set. Epic failure. No amount of lube is enough. The set up instructions are designed to produce failure.
That Deer Season XP is a great round. I used it in my .308 Remington 700. That doe dropped on the spot; right next to the feeder the way I like it. Great round, wish i could reproduce it.
Only Con about AA8 press once you have the all dies say four in place and locked using a wrench. Later you like to make adjustment you need to take the far one out in order to have room for wrench. Some say the primer set up is awful but I haven't had an issue. trick is, to have correct way to place and hold the spring.
Mine doesn't have any play in either turret. At least none that I can feel. I make sure I keep the included bushing mated up to it's intended turret. Up and down play would be the one to worry about. A very slight side to side play would not matter. Make sure the turret bolt is tight. The bushing allows the bolt to be tightened down tight without causing any binding.
Wait....you actually got a case through a Lyman die without getting stuck. Mine have NEVER worked regardless of the lube. One case did size but of course the decapping pin broke. The pins are good for 2 or 3 rounds but most cases stick anyway. Lyman knows it and I guess they have not focused on dies in their marketing. 30 years of experience and this is the worst I have ever seen.
Now that you mention it my 308 sizer was tough to use. I thought it was because I was using LC once-fired brass. I have since switched to mostly Hornady custom grade dies even for the 308. I like the interchangeable seating stems and the optional micrometer. My older pistol dies are mostly Lee and I didn't bother changing them out.