It was not that Thor did not value the trophies of Odin inside the Odin Vault. The main thing was that those trophies truly were not of much use to him.
In fact, never mind Thor—even Odin himself had only kept those trophies as collectibles, because anything that could become one of Odin's trophies was, at most, something belonging to a powerhouse on Odin's level.
The problem was that treasures belonging to powerhouses of the same realm offered Odin no real protection, because their abilities were different. It was just like the former Casket of Ancient Winters and the Eternal Flame within this Odin Vault.
And for Thor, it was actually the same. Though Thor's strength was slightly inferior to Odin's, a fire-attribute divine object like the Eternal Flame naturally had not the slightest compatibility with him.
If the Space Stone were still in Asgard, perhaps Thor could have comprehended some power from it. But asking Thor to ignore his own thunder power and Rune Power, and instead comprehend flames that were incompatible with him, was naturally impossible.
As for everything besides the Eternal Flame, although there were still some treasures of the Sorcerer Supreme lineage and other extraordinary items in the Odin Vault, those extraordinary items reached only the Sub-Skyfather level at best, and they were not suited to anyone in the current Asgard.
This was also an important reason why Thor had not renamed the Odin Vault, and why there were no guards watching over it. The items here really could only be considered mementos for people to look at.
But even if the Odin Vault was not important, now that someone had suddenly broken in, Thor still had to go and take a look. And after hearing Heimdall's next words, Thor instantly sped up.
"Oh no! It's