Your welcome.
The CZ V Asian arpeggio preset is midi synced to 1/8 notes. It's a Random arp with a 2 octave range.
You say the tempo seem to be twice the rate. Have you checked if the Arpeggios Rate parameter somehow is being modulated?
I assume the Tempo of the DAW is the same, when you record and playback.
The LFO 2 modulate the FX Multimode Filters Cutoff and the Noise Generator Level and cause kind of random ratcheting. The LFO 2s rate is being modulated by the Sample and Hold, so it has a random effect. You can check, if this has something to do with what you exsperience.
The preset use 2 delays with one synced to 1/8 dotted notes and the other to 1/16 notes.
Just in case: The random stuff will not be the same on playback, if you record midi notes.
I don't seem to have issues in Studio One 3 PRO. I don't use or have ProTools. I'm on Windows 10. Tested using the VST2 version of CZ V.
I can't tell if there are issues using MAC OS and/ or Protools.