They'll probably all ring differently as they are slightly different thickness,, and vary those thicknesses due to taper along their length. They are of various lengths. The ribs are of various
weights, shapes, solid, hollow. You have spacers of different shapes and number soldered inbetw the tubes at various positions chosen by the bbl maker-upper guy.

There are so may differences involved beyond the material they are constructed of, Maybe that one variable could be responsible for a distinct difference in ring tone IF all of the other variables were exactly the same.
..and then it would prove little, other than the material used to actually make the tubes is different.

As to the idea of 'ringing the bbls' to find defects in the ribs, I've always thought of the whole process to be sort of a Carnival Midway Attraction done at shows for the benefit of buyers.
See,,they ring like Church Bells!
Well, that's nice, but it doesn't really tell you a lot about wether the ribs are loose or not to be honest.

They can ring nicely and still have loose spots along the ribs.

A really long break in the rib solder will usually showup with the 'test'. But it's the sort of break that you can easily spot with an eyeball examination which you should be doing anyway.
Tapping down on the rib is much better indicator as already mentioned.
I simply use the tip of my finger and if you come to a loose portion it will 'click' instead of being a solid sound. The click is the loose rib snapping down upon the bbl itself.

Do a very close eyeball examination up and down both sides of both the top and bottom ribs and the short rib on the bottom.. and don't forget to test the forend hanger for looseness.
Some magnification is good to use.
Go slow and push down on the rib with your fingers as you examine and watch the side of rib where it contacts the bbl. If loose you will be able to see even a short break move up and down. Often there will be old oil held in that void and the pushing down on the rib will squeeze the oil outward just a bit , you'll be able to see that especially with close examination and magnification.

Chiming the barrels won't tell you any of that, but in all likeliness they'll still sound nice even if they do have some loose areas in the ribs.