No. Composition is the entry ticket. Delivery condition matters as much: solution annealed against solution treated and aged, the mechanical results that follow from it, grain size where the standard controls it, and the non-destructive testing level. Two heats with identical chemistry behave differently in service if the heat treatment differs.
The same chemistry, two different materials
Take Inconel 718. Annealed, it is soft and formable, and you can machine it and then age it. Solution treated and aged, it arrives at a strength roughly two and a half times higher and will no longer be formed the same way. The certificate shows the same chemistry either way.
That is not a small distinction. A buyer who orders 718 by chemistry alone and receives the annealed condition, when the drawing assumed aged, has material that meets its composition certificate and cannot do the job.
What else is on the specification besides elements
Delivery condition, stated explicitly — annealed, solution annealed, aged, cold worked to a temper, as cast, or stress relieved.
Mechanical properties measured on that condition, with the test direction and location stated. Transverse properties in a forging are not the same as longitudinal ones.
Grain size where the standard calls for it, and the cleanliness rating for aerospace grades.
Non-destructive testing: which method, which acceptance level, and whether it is done on the finished section or the billet.
Surface condition and tolerances, which decide how much material you have to remove before the part is the part.
How to close the gap
Quote against a standard and a condition, not against a grade name. If there is a drawing, send it. If there is no drawing yet, send the duty and the life you need, and let the condition be chosen to deliver it.
This is the single most common cause of a returned delivery in this business, and it is almost always avoidable at the enquiry stage.