[phoe-krk]

> It runs but can't connect to modern Wi-Fi without an update, which it can't access without an update to its firmware (a classic catch-22).

This argument is moot - the PSP is capable of upgrading from its memory card even in complete absence of a WiFi network.

[unwind]

That is great flexibility and design! Also, it might be possible to either find an older access point, or configure a modern one to use an older standard, so all hope should not be lost. :)