Before trying to answer the question I need to challenge your statement about the order in which the Horcruxes were created. Do you have any evidence for that?
We know that Tom Riddle wrote the diary in his school years and that he had Marvolo's ring when he asked Professor Slughorn about Horcruxes. He got the locket and the cup together during his employment at Burkes. The diadem was probably collected earlier, as we read in Deathly Hallows:
So, Voldemort had managed to wheedle the location of the lost diadem
out of the Gray Lady. He had traveled to that far-flung forest and
retrieved the diadem from its hiding place, perhaps as soon as he left
Hogwarts, before he even started work at Borgin and Burkes.
Anyway above discussion is about the order of collecting the items which were made into Horcruxes. The order of using them might have been totally different and I cannot find any quotes about that. All we know for sure is that the snake was the last Horcrux created.
Going back to the original question, I'm pretty sure that the order of destroying Horcruxes didn't matter. Dumbledore didn't look for a specific Horcrux every time, he searched for any Horcrux. In one of the conversations between Dumbledore and Harry in Half-Blood Prince we read:
“So . . . are you still looking for them, sir? Is that where you’ve
been going when you’ve been leaving the school?”
Dumbledore. “I have been looking for a very long time. I think . . .
perhaps . . . I may be close to finding another one. There are hopeful
Neither of them spoke about a specific Horcrux. Harry used a plural form and Dumbledore said he hopes to find "another one". In fact he was trying to visit places significant to Lord Voldemort, without knowing what could be hidden there, as he tells Harry about circumstances of finding and destroying the ring:
“But how did you find it?”
“Well, as you now know, for many years I
have made it my business to discover as much as I can about
Voldemort’s past life. I have traveled widely, visiting those places
he once knew. I stumbled across the ring hidden in the ruin of the
Gaunts’ house. (...)
So Dumbledore wasn't looking for a ring, he just "stumbled across" it at Gaunt's shack. Also he didn't look specifically for the locket:
“Which Horcrux is it? Where is it?”
“I am not sure which it is —
though I think we can rule out the snake — but I believe it to be
hidden in a cave on the coast many miles from here, a cave I have been
trying to locate for a very long time: the cave in which Tom Riddle
once terrorized two children from his orphanage on their annual trip;
Concluding, Dumbledore and Harry didn't know in which order the Horcruxes were created and never paid attention to learn and keep it when destroying them. The pieces of soul locked in the Horcruxes are independent and it seems they can be destroyed in any order.
But it is still possible that the Horcruxes were indeed destroyed in the same seuence they were created. If they were, is it significant? It might add some mysticism to HP universe.