What exactly could cause the incompatibility of 30-pin, eDP, 2-lane laptop screens?

I'm trying to replace the screen on a laptop.

I tried several screens that have same eDP 30-pin connector, all are 2-lane (and apparently share the same data protocol), and not all of them work.

My question is, what could be the reason why eDP 30-pin screens are compatible or not?

Long story.

The laptop is Lenovo Thinkpad T550. There are several 1920×1080 IPS screens to consider:

• FRU 00HN836 = AU Optronics (AUO) B156HTN03.5 — must work, officially endorsed by Lenovo (source, PDF)
• FRU 00HM082 = Innolux N156HGE-EA2 — must work, officially endorsed by Lenovo
• AUO B156HAN04.1 — works fine (worked before I broke the glass :)
• AUO B156HAN01.1 — does not work

The eDP pinout does not seem to allow any significant differences (source, PDF)

Since all screens share the electrical connector (eDP 30-pin) and data protocol (2-lane), I thought all must be compatible, but apparently they are not.

What could be the reason of such incompatibility? Knowing the answer would help me find a proper replacement (not necessarily officially supported by the laptop vendor).

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