Is anyone sizing and seating on the same tool head? If so what results or issues have you seen?
Long ago, before the whole 'two tool head' thing caught on, I seem to recall David Tubb using one tool head on a 550 for his match ammo. IIRC, the 'trick' was that he alternated inserting cases, so as to spread the load out across the tool head. Bear in mind, this was before using expander mandrels was common, or even frozen tool heads.
The order went some thing like this:
Station #1: F/L sizing die, with expander
Station #2: Powder die / funnel ( think he was using a Prometheus, even back then)
Station #3: skip
Station #4: Bullet seater die
The process was to put a case in station #1, size / decap / prime, then rotate the shell plate but *DON'T* put a case in #1. Raise the ram, charge the case, lower the ram, rotate the shell plate to #3 (empty), and put a case in #1. F/L size, decap / prime, then sit a bullet in the mouth of the charged case @ #3, rotate the shell plate and again, don't insert a new case in #1 yet. At this point you should have a sized / primed case in station #2, ready for powder, and a sized / primed / charged case in #4, ready for seating.
The concept is this: isolate the 'high force' operation (sizing / expanding) from the 'low force' operations that require some amount of 'feel'. With the original tool head, there was a chance for the force of the sizing die operation to load the tool head ever so slightly, possibly affecting the consistency/runout of the seating operation. So nothing else is done while sizing. Seating (and powder, even with the press-mounted thrower) require very little to no force, but a fair amount of 'feel'. Separating them from the sizing/priming process increases the consistency of both, and adds relatively little to the overall time.
The way you're proposing could work similarly... but again, I wouldn't necessarily recommend F/L sizing in the same stroke as bullet seating, not if you're trying for 'precision' ammo.
All that said, I used to have a good friend who couldn't *stand* the drudgery of weighed powder charges, even from a Chargemaster, and kept going back to using the Dillon APM on a 550, then a 650, and for some stuff (.223) a 1050 - and routinely beat the pack by a good margin. He didn't always win the match, but it probably wasn't because of his ammo.