I'll start with the standard disclaimer that of course user experience and taste is entirely subjective and just because I like or don't like something doesn't mean you also will like or not like it.
With that out of the way...
I rarely feel comfortable recommending a Warmoth ''pro'' neck, and I would absolutely never endorse them for 24" builds. They do not weigh 1/3rd of a lb more than regular necks; more like a full pound. Just last year I was helping a friend pick out a replacement for the Warmoth 24.75" conversion neck (i.e. ''pro'' construction) she had on a Strat, which was neck-diving, and the neck (from another company, also 24.75" conversion, with the same woods and with a similar thickness but a normal truss rod) we ended up ordering and fitting weighed 392g lighter, which if my maths is correct is 0.85-and-a-bit lbs. Close to a full pound, anyway. In the case of bodies or very thick necks you can argue that the wood might have been much denser or lighter on one neck than the other, but in this case both necks were thin profiles with narrow nuts, so there wasn't much wood mass there for it to cause that much of a variation.
This also fell in-line with my other experiences with Warmoth's ''pro' construction necks, of all scale lengths. They're always very noticeably heavier, they always sound stiffer, and the side adjustment system has always been loose, vague, and of course downright ugly. The one thing I'll grant them is the ones I kept around for long enough to see multiple season did keep their shape very well and I've never had to adjust a Warmoth ''pro'' neck for temperature or humidity shifts. But I think that is where the problem lies; they're more metal than wood.
Buy Warmoth's bodies, by all means. I still do. They make the best bodies around, with the obvious exception of a one-off body from an experienced luthier or the big Custom Shops. For parts builds Warmoth's bodies are absolutely great. I don't question the bodies any more. I've had enough of them (and bodies from other companies) that at this point I simply go right ahead and order bodies from Warmoth without worrying about what else might be out there or what might go wrong. Warmoth get bodies completely right. I trust them fully for body finishes, too. (At least sprayed-on ones; I still like to the occasional wiped-on hand finish myself.)
But unless you very specifically want the stiffer, brighter, and slightly compressed 'clang' from the ''pro'' neck construction, I have to say get a 24" neck from anywhere else. Warmoth's don't balance well and they don't sound like other necks, either. I'm piecing together a Warmoth 7/8 Strat body with a Musikraft 24" neck at the moment and it's working out superbly other than a prototype neck pickup which needs more work. I've gotten 24, 24.75" conversion, 25" conversion, 25.125" conversion, and 25.5" necks (never cared for baritone, myself) from many other companies and, again, I've never had any particular problems from any of the better-known companies and all of them have been preferable to the Warmoth ''pro'' necks I've had in the past. (None of which are still attached to any of my guitar bodies; I've had several Warmoth ''pro'' necks and they've all been replaced.)
And quickly, regarding the supposed 'reediness' of the guitars you mention, the only thing I can think of that might be doing what you mean is that all these guitars have more extensive routing under their pickguards than other comparable shapes, and due to the way all the hardware is mounted the parts can often end up being fixed down a bit tighter than you'd get on, say, a Telecaster Deluxe; if you flick a pickguard on a Jaguar or Jazzmaster, for instance, the vibration is a lot more intense but dies off faster than you get with other top-routed guitars. That routing and stiffness of the hardware mounting is really the only part of the construction or hardware which could contribute any inherent difference in tone compared to other models.
That said, I've made Jazzmasters, Mustangs, Jaguars that sound like LPs and a Mustang that sounds like a Telecaster, even with the 'standard' bridges, woods, and construction. Most of the time all it's taken is a change of pickups and pots; the furthest I've had to take any of those body styles to radically change the tone is the Tele-like Mustang got a metal pickguard, which helped add in some extra 'twang' to the bridge pickup (though didn't seem to make any audible difference to the neck pickup). The electronics really do dictate the sound much, much more than anything else. Even the difference in tone between Warmoth necks and others', as much as I don't like Warmoths', only becomes apparent when you are swapping necks on the same body, with everything else already in place, so you can very precisely compare the two. (The same can not be said for the weight, which is extremely obvious even if you compare necks on different bodies or whatever.)
