The word "reclaimed" sells things, which is why it gets stretched, and why "truly reclaimed" should mean something specific: that a material was recovered from a building giving it up, with the right to take it. Loosened to mean anything old-looking, or anything of uncertain origin, it stops meaning much at all.
Sourcing is the real question
Real reclamation starts with a legitimate source. A building coming down, a renovation stripping out what it doesn't want, a structure being deconstructed on purpose, these give up their materials legitimately. That's different from material of murky origin, and different again from new material distressed to look salvaged and sold under the same warm word. The problem is that origin doesn't show on the object. A fixture carries no record of how it left its building, so "reclaimed" can't be verified by looking at the part. It rests on the source and on the honesty of whoever recovered and sold it.
An honest dealer can speak to sourcing without claiming to certify every object's full history. What can be offered is a supply chain you can stand behind, trusted sources, straight answers about how a piece was recovered, rather than a fabricated pedigree for each individual item. Promising less and meaning it is more honest than promising a lineage no one can prove.
Salvager's Note: You can't verify "reclaimed" by looking at a part. Favor dealers who'll talk plainly about where their material comes from, and don't demand a documented pedigree no honest seller can provide. Openness about sourcing beats a certificate that can't exist.