Camera is shaky when riding an entity that is being constantly teleported

When a player rides an entity that is teleported every tick, the player's camera is shaky when looking around.

Steps to reproduce:

1. Place down an armor stand
2. Teleport it every tick using the command below in an always active repeating command block:

   execute as @n[type=armor_stand] at @s rotated as @s run tp @s ~ ~ ~0.001 ~ ~

3. Ride it using the command below:

   /ride @s mount @n[type=armor_stand]

4. Look around while riding the armor stand

Observed result:
Your camera is shaky.

Expected result:
Your camera does not shake, like in 1.21.1.