Just checking your logic here since the Jays SP threw more innings than the Orioles SP did.
Its easy to think "that other team does do this" when you dont watch them everyday. THey did the exact same stuff, just as often and even slightly more. The only difference was they had 2 guys at the backend that were as close to automatic as you could get. They micromanaged the hell out of the gap from when the SP left and when Cano/Bautista took over.
# of relievers used by Baltimore in 2023 = 26
# of relievers used by Toronto in 2023 = 19
# of relievers used by Baltimore who threw 10 innings or less on the season = 11
# of relievers used by Toronto who threw 10 innings or less on the season = 4
# of relievers used by Baltimore and Toronto who threw 50+ innings = 5 each.
Both teams had 5 primary relievers that got the most innings. Orioles RP threw more innings on the year 575 to 557 for the Jays
Seems your hypothesis of the Jays being "guilty" of micromanaging the pen more than Baltimore is clearly false.
As for "best bullpen in baseball".... Orioles Relievers stats K/9 - 9.6, BB/9 3.3, xFIP 3.94 LOB 72.4% Jays k/9 9.8, BB/9 3.2, xFIP 3.99, LOB 74.7%.
Differences were mainly the ground ball rates and HR rates. Orioles RP threw 4% more ground balls, and gave up 2.5% fewer HR per flyball. Not exactly massive differences between the "best pen in baseball" and the Jays is there?
They're not some juggernaut.