It does occasionally catch on the inside of my pocket when I take it out, but usually it’s not a problem. And the extra grip is worth far more to me. I have literally never dropped my phone since I got one, and I can use my Pixel 6 Pro with one hand easily. I would never go without one.

No.

The article mentions a USB transceiver so it probably isn’t using Bluetooth for gaming. Probably 2.4 GHz wireless which won’t have any noticeable latency.