I've only heard of the very first version of the Pro-96 having trouble with CQPSK, as in it didn't support it. That was fixed by a user-upgradeable DSP patch over three and a half years ago, and all versions of the Pro-96 manufactured after that plus all versions of the Pro-2096 ever shipped with CQPSK ability built-in.
If you have read something more recent than 2003 which indicates problems with CQPSK, please share a link with me. My Pro-96 and Pro-2096 have performed well on any APCO P-25 unencrypted digital which I tuned them to, without regard for C4FM or CQPSK.
Jim