Sprites with Perspective Camera

How to make 2D sprites in flipbook animation look good with perspective camera?
It does not happen with orthographic camera.
It is a 2D game, but I wanted to include multiple layers of background moving at different speeds.

Screenshot mid animation -

210373-bug2.png

Each frame of animation has these settings -

This error is nicely visible when I play animation 1fps - Sprite Update Latency - YouTube
It looks like a render latency, its not crisp frame update

Bump? The issue is not that visible when using orthographic camera instead of perspective, but I would need to keep the camera perspective. Any ideas?