Why there is no direct conversion
An IPv4 address is 32 bits and an IPv6 address is 128 bits. Nothing in the protocols maps one to the other: a server with the IPv4 address 192.0.2.33 has an IPv6 address only if its network assigned one, and that address is published separately in an AAAA record. The forms on this page are conventions for carrying an IPv4 address inside an IPv6 one, each tied to a specific mechanism.
That is why the result card carries an info box. People sometimes paste the IPv4-mapped form into a DNS zone as an AAAA record, which breaks IPv6 clients: they try to connect to ::ffff:192.0.2.33 as if it were a routable IPv6 address, and it is not. DNS lookup with the AAAA type shows what a host's real IPv6 address is.