Studying a new command of 12.2 `FunctionMeromorphic`

, I try

```
FunctionMeromorphic((Re(z) - I*Im(z))/Abs(z)^2, z)
```

`False`

```
FunctionMeromorphic((Re(z) - I*Im(z))/Abs(z)^2 // Simplify, z)
```

`False`

```
FunctionMeromorphic(((Re(z) - I*Im(z))/
Abs(z)^2 /. {Re(z) -> (z + Conjugate(z))/2,
Im(z) -> (z - Conjugate(z))/2,
Abs(z) -> Sqrt(((z + Conjugate(z))/2)^2 + ((z - Conjugate(z))/2)^2)}) //FullSimplify, z)
```

`False`

```
FunctionMeromorphic((Re(z) - I*Im(z))/Abs(z)^2 // FullSimplify, z)
```

`True`

I suspect the latest result is not true. I am right, aren’t I?