Yes, de Broglie agreed with Bohm in terms of the “subquantic medium”. However, Bohm considered the wave-function wave to be the pilot-wave. This is what de Broglie disagreed with when he said, “to render impossible the adoption of the pilot-wave theory.”
NON-LINEAR WAVE MECHANICS
A CAUSAL INTERPRETATION
by
LOUIS DE BROGLIE
"During the summer of 1951, there came to my attention, much to my surprise, a paper by David Bohm which appeared subsequently in The Physical Review [3]. In this paper Bohm went back to my theory of the pilot-wave, considering the W wave as a physical reality He made a certain number of interesting remarks on the subject, and in particular, he indicated the broad outline of a theory of measurement that seemed to answer the objections Pauli had made to my approach in 1927.3 My first reaction on reading Bohm’s work was to reiterate, in a communication to the Comptes rendus de VAcademic des Sciences [4], the objections, insurmountable in my opinion, that seemed to render impossible any attribution of physical reality to the W wave, and consequently, to render impossible the adoption of the pilot-wave theory."*
de Broglie says it is impossible to attribute physical reality to the wave-function wave.
There are two waves in de Broglie’s double solution theory. There is the wave-function wave which is statistical, non-physical and is used to determine the probabilistic results of experiments. There is also a physical wave in the hidden subquantic medium which guides the particle.
Bohmian mechanics: one wave.
de Broglie’s double solution theory : two waves. One mathematical. One physial.