Can the following point of view be traced back to a particular publication by Poincaré? In Section 3.1 of Gravitation, by Misner, Thorne and Wheeler, the authors write:
Here and elsewhere in science, as stressed not least by Henri Poincare, that view is out of date which used to say, “Define your terms before you proceed.” All the laws and theories of physics, including the Lorentz force law, have this deep and subtle character, that they both define the concepts they use (here B and E) and make statements about these concepts. Contrariwise, the absence of some body of theory, law, and principle deprives one of the means properly to define or even to use concepts.
The reason I'm so interested in this: I do still encounter that "out of date" view.
Looking for clues I checked the Stanford encyclopedia of Philosophy entry for Poincaré, which has
Poincaré and Hilbert propose a radically new view of geometry. They hold that all that we can say about the meaning of ‘point’, ‘straight line’, ‘distance’, etc. is that which we have stated in the axioms or principles of the system, and that geometry is not a set of truths about some previously known objects. Thus Poincaré formulates a new view of geometric theories, that geometry does not express true or false propositions and that there are no special objects which geometry studies. Rather, geometry is just a system of relations that can be applied to many kinds of objects.
It comes close to what is raised in MTW, but it's not quite there, it seems. It may well be, of course, that more was attributed to Poincaré than was ever in Poincaré's actual writings.
For context: the same quote with paragraphs leading up to it included: from 'Gravitation', by Misner, Thorne and Wheeler's Section 3.1, The Lorentz force and the electromagnetic field tensor:
At the opposite extreme from an impulsive change of momentum in a collision (the last topic of Chapter 2) is the gradual change in the momentum of a charged particle under the action of electric and magnetic forces (the topic treated here).
Let electric and magnetic fields act on a system of charged particles. The accelerations of the particles reveal the electric and magnetic field strengths. In other words, the Lorentz force law, plus measurements on the components of acceleration of test particles, can be viewed as defining the components of the electric and magnetic fields. Once the field components are known from the accelerations of a few test particles, they can be used to predict the accelerations of other test particles (Box 3.1). Thus the Lorentz force law does double service (1) as definer of fields and (2) as predicter of motions.
Here and elsewhere in science, as stressed not least by Henri Poincare, that view is out of date which used to say, “Define your terms before you proceed.” All the laws and theories of physics, including the Lorentz force law, have this deep and subtle character, that they both define the concepts they use (here B and E) and make statements about these concepts. Contrariwise, the absence of some body of theory, law, and principle deprives one of the means properly to define or even to use concepts. Any forward step in human knowledge is truly creative in this sense: that theory, concept, law, and method of measurement—forever inseparable—are born into the world in union.
Later in the book this point is raised again: that laws and theories of physics are both laws/theories of physics and operational definitions of the concepts that the laws make statements about. See Section 12.3 in 'Gravitation'.