I have two LP type guitars atm. They both sound very much like I would expect a Les Paul style guitar to sound despite having very different neck construction. So to me there's more leeway in how the neck is constructed.
One is a South Korean made Fenix LP copy with a traditional long tenon neck joint going into the neck pickup cavity. Gotoh hardware, upgraded electronics (stock pickups/electronics are terrible) and Mastertone active pickups. Mine even has a proper flamed maple cap instead of veneer or veneer over plain maple. But being a 1990s S. Korean made guitar, it has its own share of cosmetic issues. I do like the mix of LP Standard and Custom styling with the multi-layer binding.
These are mostly found in Europe, sometimes popping up on the used market. Avoid the bolt-on models and you might get a pretty decent "fixer upper" guitar if you find one cheap.
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The other guitar is a Heatley Tradition at the opposite end of the price range. Its neck tenon goes all the way to the bridge. Tonepros/Sperzel hardware, Wolfetone pickups. Upper fret access is of course excellent.
Even Scott Heatley himself told me that the deep neck tenon acted a bit more like a neckthru but it was difficult to tell it apart without a near-identical guitar with a different tenon right next to it. He stopped doing the more laborous deep neck joint because his customers didn't care one way or another, so he went with a "offset mortise and tenon neck joint" instead.
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The Gibson Axxcess or what they do on the LP Modern lineup is stupid because it's built to work with their current neck building methods rather than actually make a better neck joint. They simply carve some of the body and fit the same ol' neck on it.
I don't mind the traditional neck joint too much either, you learn to work around it the same as a Strat/Tele block heel. I do think a contoured one on modern LP style guitars should be a standard feature.
I think you are putting too strict qualifiers on a "'59 clone" in this thread. Most people (including OP based on the brands he's looking at) do not care whether it's exactly to some vintage guitar spec, but mainly want the chunkier '59 neck profile, finish style etc. You don't need Murphy aging for that and nobody should want retainer wire TOM bridges anymore. What constitutes a "Les Paul sound" varies a lot based on who you ask and their preference.
I can't say anything about the Maybachs, never seen them. In their price range I'd probably look at Gibson too.