It is all about perturbation theory. Two relatively massive stars orbited by planets can be considered as a two body problem. If there is a Fourier term due to planets on the Doppler measurements it would be a bonus and also put a lower limit on the accuracy of these measurements.
There was a time when speculations such as these only occurred in the hallowed halls of higher learning only by the senior students and teaching staff not interested amateurs.
Even the police are getting in on the act of using Doppler measurements as they ping you for doing 63km/hr in a 60km/hr.
Bert
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