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It would be nice if we could get some feedback from from Parallels that either: 1) They are aware of the issues with P14 and Mojave 10.14.4 and...
Did you use the "Apple" hypervisor as well?
I disabled "Adaptive hypervisor" and used the Apple hypervisor and that seems to have helped a lot.
I have the same issue. I can see the windows painting in the VM. It was woking without issues until 10.14.4, and frankly it's not a great response...