"strict" means something. People, including yourself, only care if there is a practical difference in performance. "this is lossless and that isn't lossless" is a completely useless statement in this realm. In many domains lossy compression is either not tolerated, not legal or not practical.

If you get any accuracy degradation with full 8 bits of precision you're doing it wrong.

Or your model wasn't trained so well (weights are too spiky)