If it all works, and fits, and is "single speed", then it should be fine.

I'm not sure about single speed, but on multi-speed bikes, as the chain stretches, it causes the chain to ride high on the sprockets. This in turn angles the tops of the teeth.

When one installs a shorter chain, it slips up high on the teeth, which lengthens the circumference of the sprocket, and so, riding high, the shorter chain is too short to properly wrap around the sprocket at the higher place, and thus doesn't fully engage all the teeth... with each successsive link being higher until it finally goes over the top, thus skipping.

Reversing your sprocket, the length of channel between the teeth is irrelevant as the teeth are still spaced precisely every 1/2 inch.

But, the shape of the tooth profile could potentially better hold the chain in the proper place.

Thus.. flipping is likely GOOD.

Keep in mind, wear without climbing high on the teeth is probably just fine.