Are you trying to embed a vtkAlgorithm inside vtkContinuonsRegistration? I would appreciate a bit more details on the design you are trying to come up with, it is not very clear to me right now.
There is a new base algorithm called vtkForEach (in master) which could potentially help better than vtkTemporalAlgorithm for your specific use case. There is a discourse discussion about it there. Don’t hesitate to interact in the thread if it is of interest.