There are many types of profiles. Cf.
https://en.wikipedia.org/wiki/Bow_shapeUn-braced (un-stringed) profiles of the bow (stave).
Front(al) profiles: straight, narrowed handle, Sudbury, Mollegabot, Pyramid, Eiffel tower, paddle, ....
Side profiles: straight, recurved, decurved, reflexed, deflexed, R/D or D/R, ....
Cross-section profiles (of different sections): flat, round, ELB, many complex ones as in horn bows, ....
Braced (stringed) or drawn profile. (Can also refer to tillering profile)
All side profiles.
Circular, D bow, rigid handle D, elliptical, whip-tillered ...
At least we need to figure out why we are asking the question before we can answer it properly.
Q1: Can all bows with "D Bow" braced profile be also called ELB? No.
Q2: Does the bow profile matter? Of course.
Q3: Do we need to have some standardized bow profile categories? Yes.
Q4: What is the best braced or drawn profile of a bow with the cross-section profile of ELB? Circular or elliptical?
Q5: What is the best profile for a Eastern Red Cedar bow?
What is the best front, side, and cross section profile for that material?
What is the best braced and drawn profile of that material?
Can these questions be answered definitely by any of us?
What is the real, hopefully simple, question you expect to get answered here?