I’d have expected a range extender to be a gas or diesel generator, a bit like the bmw i3, but removable
https://www.caranddriver.com/news/a34277725/ford-f-150-range...
If it takes you 4 hours to drive 300 miles, in that time you would have added about 60 miles. (4 hours x 5kw x 3miles per kwh)
Added generators wouldn't even need to be that good to completely obliterate FUD about limited range.
I'd be interested to know which EVs this applies to. Leaf, Bolt maybe? Regen on the Bolt is just barely over the DC fast charge rate, and the Bolt is on the low end. For something like a Tesla or any other equivalently modern EV it won't even be close.
Run don't walk to the patent office with that idea! If Rivian can patentent the idea of an extra battery, your invention seems much more inventive!