As to the usage of Janus model for particle physics I must admit I have no clue, but I though that his model bring a new way of seeing matter so it maybe of some usage.

As to the reception of Petit model, he mainly have a bad reputation, because of his unconventional views on ufo phenomenon. But from what I understand, the math behind are solid, and his model evolved since 1970.

You can watch his video from 2020 where he sum's up his model. (at 1h30 he start describing how the model fits to observation so far and make one prediction about lab dark matter that will fall down)