I agree. This is why it's kind of hard to look at mundane gear and get too detailed with it rather than let the DM just make a ruling. That said, I'm glad the equipment exists in the PH as a reminder for the PCs to consider them when kitting themselves up for adventure. It adds a bit of reasonability and verisimilitude to the proceedings which helps to ground the character into a realized setting - at the very least, you can say you have a mess kit for sitting around the campfire even if you never declare its use and it has no mechanical expression in the rules (beyond a bit of cost and encumbrance).
If anything, I think a bit more coverage of environmental hazards in the DMG wouldn't be a bad thing. It doesn't have to be nearly as detailed as the WSG. But perhaps a bit on how the environment affects long rests and how shelter, like a tent, can ameliorate the effect of heavy rain and cold. The DMG wouldn't hurt for having a bit more on wilderness survival.
Well if I had a magic wand I could wave we'd have a book dedicated to wilderness survival written by people who actually understand the topic.

I agree though, the DMG should be rethought with at least a basic structure to handle some of these things. I'm just not sure how you'd do it. In the wilderness survival guide they had a chart that looked impressive but ultimately didn't really add much value, it's one of those books on my shelf that still looks new because we never used it.
So while I don't want to recreate skill challenges per se I think a similar structure might work. Maybe. Give people a general outline on how to handle exceptional out of combat situations. Take tents and survival in harsh conditions. You could have some sort of point system and then give people X points for tents, Y points for blankets. Throw in some survival checks or points for class features? So a more generic explanation of what they were doing with the chase rules. Not sure.
But it's not that you would give details to tents because a tent is literally is just a piece of waterproof cloth between you and the elements. Out in the wilderness and it rains? You're going to get wet if you can't find or make other shelter. Depending on the situation be ready to make some constitution checks or gain exhaustion. How high the DC is though, once again, just depends on numerous variables. Also totally pointless if the group has access to tiny hut.
Shovels on the other hand? Not sure what you'd have for all the reasons I've already mentioned. Although Mister Shovel would be kind of awesome.