such as OE paeddan ‘to walk’

I think you mean pæþþan 'to tread (a path), traverse'.

Anyway, your historical linguistics rebooted certainly is more fun once you've gotten rid of all those stodgy "laws". So, not only are foot and pedal cognate, but so is path and pod and faith and a whole bunch more. Arithmetic is so much more fun if you get rid of laws like you cannot divide by zero. Being able to divide by zero allows you to derive equations like 1 = 0. I can't wait for you to fix biology and physics. I'm sure that'll be fun, too.

Ceci n'est pas un seing.