I have the 45 PC-e as well,yes it does have CA,as much as the Canon 45TSE I had.
The good thing is ,if you process the Raws in Capture One, the CA is almost gone (compared to ACR)
Very easy to fix in post btw.
Regards,
Willem.
N.B I had terrible CA with my Zeiss ZF 35 , especially processed with ACR,none again with C1