I tried a few times as some BIOS have a hidden or disabled setting but I never got past a plain crash. Device and CPU vendor support for classic S3 is shrinking. E.g. on framework laptops the Intel CPU(!) does not officially support S3 sleep.

So I can understand that there is no option for it if all you can get is out of spec behavior and crashes.

Also note that it is incompatible with some secure boot and system integrity settings.

Thinkpads do. It's poorly named but they let you choose Windows (S0x) or Linux (S3) sleep.

No, not on modern Thinkpads.

Every XPS and Thinkpad that I owned, had a bios setting to "enable linux compatibility" which was enabling S3 state.