No. I'm comparing time skip with leaving the game and coming back 2 hours later.
That's what time skip is. Literally.
The active management happened before that window to build the stockpile in an earlier step.
Yes, active management happens before the time skip. This isn't an argument, it's just stating facts that are self-evident and do nothing to advance your case or mine. Active management
does not happen within the 2 hour Time Skip. That's the point you're dancing around.
It gives you 2 hours of the lowest of festival, shipping, or factory. But if the current state of your game is such that the lowest current one is buffered by a stockpile from an earlier step (in the screenshots above, stuff waiting for the festival because i took shipyard to 300 before festival with these managers), it gives you less than 2 hours - unless you'd still drain that stockpile anyways and be limited by your lowest current production before you're done anyways.
Your first sentence is correct, but that's exactly what I've been saying.
If your factories and shipping are at sufficient levels to keep the festival fully supplied, then the Shamrock total will be what the Festival will process in two hours.
If the factories are at sufficient levels, but the shipping is not, then the Shamrock total will reflect what will ship in two hours.
If the shipping is at sufficient level, but the factories are not, then the Shamrock total will reflect what the factories produced in two hours.
The "stockpile" you keep referring to is, I assume, what has been collected from the factories and is waiting for shipment to the Festival. If the factories are at sufficient levels to fully load the ship plus extra, then that total will also reflect what two hours of factory production minus shipping will produce. The only time that would come into play is if your factories
are not at sufficient levels to keep the ship fully loaded for two hours. But even in that case, the Time Skip will accurately reflect what will happen in two hours
without active management. None of the totals will match what any of the individual (Festival, shipping or factories) productions are, but that
does not mean that it is inaccurate. It's still accurate. That's why you have to use common sense and not use the Time Skip if your shipping and factories are not keeping up with each other and the Festival.