Are A2251 and A2338 screen Compatible?

To be clear the A2251 is a four port Intel based system and the A2338 is either the M1 or M2 system.

Sadly, Apple alters things between the series that prevent using older displays on newer systems.

The reason you can’t find a display for your M1 system is Apple has now entered into the open parts supply! While that is good for thoughts who want real Apple parts that are fresh. Apple also has tightened things require calibration via a pay-walled tool. While a used screen can be used you will loose TrueTone services. Review the iFixit guide here MacBook Pro 13" Two Thunderbolt Ports Late 2020 Display Assembly Replacement

So you’ll need to visit Apples Self Repair Store to get the new display.