Yes, he would. Much BN work is registered to one or other of BN's own publishing companies. The percentage split of the publishing royalty (between BN and the composer) was negotiated on a case by case basis, as I understand it. Musicians with enough clout to insist that their work was published by their own publishing companies were not under the obligation to negotiate, of course. But that obviously disadvantaged the labels, which is why composers were compelled to pool their work with the label's company if they wanted to record a tune. Variations of this are still standard practice. There are complexities that others will be better placed to explain.
On top of publishing royalty the musicians would receive a royalty for copies sold. But thereby hangs another tale.
There are some books about this Chewy, including on various Blue Note artists ...