Tamed animals no longer teleport to players properly

The bug

Since the 1.14.4 update, tamed pets (have only tested with parrots and dogs thus far) no longer teleport to the player, and instead get left behind. If within render distance, the pet will continue to walk/fly towards the player but will not teleport, even under circumstances where they would have on prior versions of MC. Tested both on single-player and multi-player.

In the attached video, I showcase some behavior that would previously result in tamed pets teleporting to the player. The video shows the new behavior wherein they will NOT teleport, even within eyesight.