RigidBody2D bounces despite bounce being set to 0, sometimes freezes with horizontal movement on a tilemap

[psearpsearpsear]

Godot version:
3.2.2

OS/device including version:
Linux Manjaro 20, GLES3

Issue description:
At a higher velocity, rigid bodies appear to bounce slightly despite bounciness set to 0. In the same project, moving along tilemap tiles horizontally occasionally freezes, despite a console output giving a non-zero horizontal velocity.
In the supplied project, jumping from a higher platform produces a noticeably bounce, sometimes to the side. Sliding from left to right at the bottom will also sporadically freeze.

Steps to reproduce:
Place a rigidbody2d on a tilemap with some tiles. Apply an upwards impulse ("jump"). Allow body to fall.
Use _integrate_forces to set horizontal velocity, and walk over some tiles for an extended distance. The body often freezes.
In the provided project, the linear velocity is printed every _integrate_forces loop, showing that velocity is non-zero despite being frozen in position.
reproduce.zip

Minimal reproduction project:

[Calinou]

Duplicate of #28438 and #34215.