The current Lightning Address standard that we use widely is a part of the LNURL protocol. It is one of the many features of LNURL. But LNURL is not a part of the Lightning Network implementation spec. It's something that is 'built on top of' Lightning.

Unlike LNURL, BOLT12 is a specification that has many features as well, but aims to make these features a part of the Lightning Network implementation spec. The ability to create reusable payment identifiers, or 'Offers' as they are called is one of these many features.

It is definitely possible to create a standard for human readable payment identifiers.

Example:

https://github.com/ATLBitLab/twelvecash

For further reading about Lightning Address for BOLT12:

https://lists.linuxfoundation.org/pipermail/lightning-dev/2023-November/004204.html