Here's the problem... One man's tedium is another man's gameplay. The problem with food, in my experience, is that it is *wildly* abundant, and it's far too easy to stock up a winter's amount of food in no time flat. Now, the spawn area does have a role to play in this, but not nearly so much as to make a significant difference. Berries, fish, the occasional chicken, and wild crops go a long way to filling my larder before winter. There's just *too much food.* Don't forget that tule and cattail roots don't rot until you cook them. Building a supply of those is a breeze; they're the perfect emergency food.
Animal respawns are frankly broken, but, IMO, in the opposite way you suggest. Far too many of them exist, and no mechanic makes it possible to hunt out an area. This means, for good or ill, there's an infinite amount of animal respawns, and I never have to worry about running short of them.
Animal domestication is *glacial*; a second-generation animal shouldn't still carry wild traits. Wildness isn't genetic (exclusively); it is largely the result of interaction and comfort with humans. (Edit: However, getting a penned combination of non-domesticated animals from which to generate food is entirely possible. The problem is that pregnancy and birth rates and growth to adult rates make it super easy to produce as much food as you need. Especially with so many animals feeding on dry grass.)
The process of creating an internally consistent game focused on a slower pace would, by its very nature, automatically drive out those who aren't fans of what many would call tedium. There's a drive in this group for fast progression that constantly hits the dopamine button in the same way that "chips go brrrr" in Balatro does. Is there a possible balancing point? Sure. But that balancing point is likely to be unsatisfying for both sides in multiple ways. ("Both sides" is a false dichotomy, but fiddling over degrees isn't going to get us anywhere.)
I will say this: So long as 4k is a "long way to go", the pacing of progression will forever be locked behind the "but I had to go so far to get it" mentality. It's not an unfair or a wrong one, but it is an enemy of slow-paced progression. If everything you need is within 4km of home... It's going to be hard to pace progression.