The swimming animation was changed in 1.13 due to the player model being made data driven. However, it wasn't centered correctly.
To fix this, simply change the root position in the swimming animation from this...
"position" : [ 0.0, "(math.sin(query.target_x_rotation) * 24.0 + 3.0) * variable.swim_amount", "(math.cos(query.target_x_rotation) * 24.0 + 9.0) * variable.swim_amount" ]to this.
"position" : [ 0.0, "17.0 + math.sin(math.lerp(-90.0, query.target_x_rotation, variable.swim_amount)) * 17.0 - 12.0 * variable.swim_amount", "math.cos(math.lerp(-90.0, query.target_x_rotation, variable.swim_amount)) * 17.0" ]I have attached some pictures of how the animation plays on Java Edition, how it is on Bedrock and how it looks with the fix applied.
Notes: There's also some minor offset seen when the player is facing upwards or downwards, but taking these pictures takes time. The suggested fix addresses that too.
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Partially fixed in 1.20.10.20 Preview - The model is now properly centered while variable.swim_amount is 1, but the transition is still not centered, which can be easily observed when looking downwards.
The suggested fix uses the variable inside of a lerp instead of a simple multiplication, which applies the centering math to the transition as well.
Can confirm, affects 1.16.210