The notification icon is missing on all of my Z1c with LOS 17.1 and 18.1.
If you see this icon I will try a factory reset :-(
The two logs came from one device but the others have the same behavior.
and some others.
In the meantime I found out that only one of my NFC capable cards is readable (but only sometimes, not repeatable): a credit card, but my giro card never (I use this card always to pay so it should be OK).
I use the standard version with GAPPS.
I just installed the app you mentioned on 18.1: Both cards I tried could be read.
Could you try a clean build? No gapps, no magisk, only Lineage?
I think there is something messed up with your system.
Or it's a hardware fault. Some connections issue or so. But why should AICP work then...