And what you would have is an expensive bike. $2k is an expensive bike.
The fact the market offers a $3,000,000 car doesn't mean a $100,000 car isn't an expensive car.
We can stop going in circles. You think it's expensive, but it's not an order of magnitude more expensive, like your example cites. Others don't think it's that expensive, and I agree with them. Researching e-bikes 1-2k seems like market price, and they were within that range.
If exercise was the primary focus alongside a commuter, then getting a non-electric bike would be likely the focus.
Source: I just bought a bicycle and went through months of asking colleagues and friends their opinions on e-bikes. I ended up with a bike cause I’m not planning to commute