...is 'in the past'a key phrase here? Timber used to be cut/dimensioned by hand frequntly as often little else was available in small operations. Folk had the skills to do it. But could I suggest that the wood was better, & more carefully seasoned, & this made converting large lumps of wood into what was needed rather easier than it is now.
I think there are two answers to this question:
1) if you want to source lumber in a size that you need and a quality that's very good, and more stable than air dried wood would've been, you can do that pretty easily
2) It is true that if you just find job lots of lumber, or cubic meters of a pair of sizes and what you need is between the two, you'll have the experience of additional exercise.
The effort saved by leaving the sawing to the miller as much as possible would've been an economic thing, but it's not really an issue as a hobbyist as the rough work to some extent will improve the fine work without actually doing the fine work as much.
And if you do source common lumber instead of the better of what's listed as FAS in the states (are the terms the same in the UK?), especially if in a type of wood that works well by machine but is kind of a nuisance from rough (hard maple comes to mind, whereas something like beech is almost as hard and favors hand tools a lot more), then that could be pretty hobby-limiting. I learned that the hard way being wooed by a load of relatively wide cherry boards #1 common for $2 a board foot. It was OK to learn a lesson on 500 board feet of it, but I wouldn't want to work with it indefinitely when the equivalent FAS lumber here with straighter grain and fewer defects is generally $5 locally.
My impression is that the real reason nobody is doing much dimensioning by hand is:
1) you don't have to, and that provides a disincentive to get past the first couple of hundred board feet where you're kind of training neurons, both in your head and peripheral
2) that a lot of people who say they just don't have time waste 20 hours a week or more on a bunch of stuff they may not enjoy, but they can't get over the hump. E.g, it's not a priority to get in the shop.
#2 is a dead end with power tools, too, but somehow it seems like there's more potential for the power tools to spring to life and make you good at things in a hurry.
There's a tool dealer in the US who firmly believes that the cap iron came about to cope with declining lumber quality in the late 1700s and early 1800s. I have no clue if that's true - it greatly reduces labor on the best of ribboned mahogany or quartersawn or figured anything. The tools that dominated from 1800-1900 are perfectly capable of dealing with our lumber, though, even the junk. The junk comes down to whether or not you will tolerate planing wood that has runout in several directions on a face and that is twice as slow and twice as physically brutal to dimension.