Actually, we tried that: the "IPv4-Compatible IPv6 address" format was defined in [RFC3513] but deprecated by [RFC4291] because it turned out to be of no practical use for coexistence or transition.
The practical use would've been going all-in on those, making it as easy as possible for users to switch. But instead, the default way of using v6 was those new addresses, also SLAAC and no NAT, and 6to4 was bolted on in a way that never worked very well.The thing is, their objective wasn't just to add more bits, it was to defrag the old v4 routes. If you did it the "just add more bits" way, once everyone is on v6 but with the old v4 /32s, the new address space for sale is underneath those. Maybe there'd be a way to defrag afterwards in a separate effort.