In a normal D&D dwarf society, miners and craftsmen are the most respected and traditional jobs, if not the only, In the tolken world, I believe it´s the same, Dwarfs live in mountains to dig and build and craft, that´s why they´re so bulky and strong, couse of mining and diging and forging, etc. The warrior aspect is second in most dwarf societies
This may be true.
But it is also true that some fictional worlds have dwarves with proper noble classes, segregation between craftsmen and engineers, complex hierarchies that decide the value in your craft (goldsmithing > carpentry), separate hierarchy for spiritual leaders, scholars, artisans, poets and chefs.
There cannot exist a society where all professions are equal, or where a nobleman can engage in any profession, for that would make him or her equal to the lower classes which he/she would then work directly with. Noblemen always work to stay on top. The middle class strive to be as close to the upper class (nobles) as possible and at the same time distancing themselves from the lower class, which in return wants to be like the middle class or better. A working, living society is a very complicated thing.
Even if the world we play in has abandoned the noble class there will still be some form of elite. The rich, the spiritually ascended, the learned, the strong or the beautiful to name a few. Their agenda is still the same as the noblemen's.
Please, I'm not trying to argue with you, I just want an answer from the GM about what kind of society we're dealing with. I appreciate you trying to straighten it out, but I have no guarantee that your information is the same as the GM has in mind.