Certainly Captain Sisko's second USS Defiant would have been worthy of it.
In fact, it was. Sort of. As always, budget concerns.
The original Defiant Class USS Defiant was a Prototype ship bearing the NX registry class, full registry number NX-74205. Production models of the Defiant Class ship bear the NCC registry class, like the NCC-75633 USS Sao Paulo. After the original is destroyed, Star Fleet essentially gifts it to Sisko with permission to rename it as the Defiant. With this, it also reuses the Registry Number of NX-74205.
[The Second] Defiant has conflicting registry numbers. The dedication plaque on the bridge gave the registry as NCC-75633, but the plaque also contained the original name Sao Paulo. External CGI images seen in "The Dogs of War" and "What You Leave Behind" repeated the old registry of NX-74205 as a result of the extensive use of stock footage from earlier episodes, including "The Search, Part I", "Sacrifice of Angels" and "Tears of the Prophets". The new footage in "What You Leave Behind" continued to use NX-74205 for consistency. In the Star Trek: Deep Space Nine Companion, Ron Moore stated that he intended for the ship to be designated the "Defiant-A" but it wasn't shown on screen because it would have been prohibitive to repaint and reshoot the model for one episode. Memory Alpha uses the commissioning year to differentiate this ship from its predecessor.
Since DS9 wasn't picked up for an eighth season,or hasn't had remastered shots, we never see it shown as an A variant, but in-universe logic would require it.
Another ship is the Galaxy Class NCC-1305-E USS Yamato, sister ship to the Enterprise-D. Though this was apparently a production mistake that made it on screen. The ship later gets many different registry numbers.