No, please do not flash the knob version firmware if you have the non-knob Q1 version. Flashing the wrong firmware that is not compatible with the model may cause damage to your keyboard.
For users who want to solder the knob on their own on the non-knob version Q1, here is the firmware and JSON file we made for it: The Firmware For The DIY A Knob For Your Non-Knob Version Q1