This, like many other things, is probably dependent on the type of fishing you do.
If you’re chasing panfish/perch and are looking for big numbers, it’s almost mandatory to move around.
Personally, when fishing walleye or big pike, I pick a piece of structure that I’m fairly sure they’ll relate to at some point, and let them come to me. For example, yesterday afternoon I set up fairly shallow knowing (more like hoping) that the fish would move in to feed shortly before/after dark.
I feel like I’m maximizing my chances that way. I know I’ll intercept a school at some point. Hopping around outside and hoping to stay on them all day might result in finding nothing, or finding negative fish. Then, I’m dealing with additional time spent keeping holes from freezing, fumbling with gear, drilling, etc. Sure, there are days where tje guys pounding the ice all day will produce better numbers….but just as often not. Especially after first-ice, when metabolism starts to slow down, these fish aren’t feeding all day. There will be long periods where you may find them, but they’re not in feed mode.
Also, it sure is nice and relaxing after a long day at the office to set up, get warm and settled, have a couple beverages, and sit and wait for my for the inevitable: my flasher lighting up like the lights on a police car when the schools start moving in.
I’ve caught my biggest fish this way (typically on the slip-bobber dead stick, which I probably wouldn’t have out hole hopping). I feel like you’re more likely to get a good reaction more often if they come to your subtle presentstion, as opposed to drilling a hole over the top of a 32″s head, and dropping s hunk of metal in its face. But, the lake I frequent is also extremely shallow, nearly structureless, and I have nearly a lifetime of reference points. Every body of water is different.