That is not what AL teams do. They have the same 13 pitchers as NL teams and that will be the limit (though I am not sure if that is suspended this year so we could see some teams use 14 potentially even when the rosters go to 26).
While in the NL there are some pitchers lifted a bit early because of pinch hitters, there are also no easy pitcher at bats to get through with the DH so the lineup is tougher. AL and NL starters pitch roughly the same number of innings.
A year old but a pretty good overview (other than Nick Williams and Dylan Cozens being our primary DH!).
The big drivers of bullpen usage are shorter starts and more bullpen pitchers. The former is likely to continue though one could argue that without a model change it can't get too much shorter. The second will now be limited to 13 total pitchers. This is where the multi-inning reliever becomes more important. Not necessarily as a tandem starter, but because you have more innings to fill and a limit on pitchers. Also, rotating minor league pitchers in with options and a judicious use of the IL is not a great long term strategy because by definition you are using lesser pitchers.