Don't keep your hopes up to high. Anything that was originally shot out of focus will be blurry in SD, HD and in 4K. Remember that unfortunately they had the actors in focus, not the props.
That was actually a joke. Hence the laffy-face. The implication is that the picking goes on no matter how good a look we get, because we're an obsessive bunch.
I spent 11 years in the film industry, which included a fair amount of camera training early on, and after that I was (and still am) an insatiably curious geek. Camera was one of my favorite places to hang around, and I used to quiz camera and lighting people all the time. Learned a lot over the years that way. Also there was film school, and years of hobby photography in 35mm when I was a teenager.
If you really pay attention to camera in the series in HD, it's pretty easy to see that they
didn't always get focus right, because viewfinders back then were quite dark, there wasn't time to do too many takes, and you usually only caught a soft shot in dailies the next day because video assist didn't exist yet -- too late to do anything about it on their schedule and budget. In fact, most of their dolly push-ins went soft in the middle, and often the 1st AC had to adjust focus at the very end.
Also happens in old movies quite a lot. It's hard to match a manual focus pull to a dolly push-in all the way through, even if you're really, really good. You've got intermediate marks on the lens, but it's not perfect because there's a human pushing the dolly, another acting in the frame, and a third pulling focus. Nowadays, there's all kinds of focus assist technology, plus digital sharpening in post, so you don't see it nearly as often. Not to mention if you're shooting on film, video assist is digital now and vastly superior to what it was in my day, and you can play back your takes on the spot on a large monitor instead of 24+ hours later.
Interestingly though, the prop inserts on TOS are usually flawlessly focused, because they never moved, the camera was locked off, and it was easier to find your focus and keep it there.