Teleporting to your current position every tick sometimes doesn't let you move properly

If a player is constantly teleported to their own position, in some cases they can't move around properly. Pausing and unpausing the game seems to fix the issue sometimes, while other times it does nothing or makes it worse.

How to reproduce:

1. Place an always active repeating command block with this command:

   /execute as @a at @s run tp ~ ~ ~

2. Try to move around.
3. Pause the game, unpause and try again.

Expected result:

The player should be able to move around freely, without any stuttering, just like it was in previous versions.

Observed result:

In some cases, the camera stutters and the player isn't able to move properly, getting teleported back to a previous location, and pausing the game either alleviates the issue, or makes it worse.