Another idea that pops into my head is that will 200k on the short block, your rings/cylinder walls are likely a little loose. Do you maybe oil up the plugs causing the engine to run a little rough until the oil burns off? I have no clue why it wouldn't do that EVERY time though.
70 Roadrunner convt. street car
440+6, NOS, 4-spd, SS springs
'96 Mustang GT convt. street car
'04 4.6 SOHC, NOS, auto, lowered
"Officer, that button is for short on-ramps"