I've got a set of PG Blues in my Les Paul Standard and there are similarities to the Stormy Monday but they're not identical. The out of phase sound is spot-on, but like you I'm not much into it. I thought I would be, but I can't get it to sound as good as Peter Green, surprise surprise. Where the PG's score very highly is balance and roundedness - PAF but with no shrill edges, it's all warmth and clarity. BUT - they're mild. If you're playing very clean blues with a quiet drummer they sound great. But if you want a bit of cut you need to get the amp/pedals to do more work and you lose the purity of the clean tone.
My favourite tone from the PG's is the neck - it's very woody and and gets you very close to the tone that Peter Green gets on Ramblin' Pony if you work at it. It's beautiful, but not classic Les Paul - it's very specifically like the Les Paul played by Peter Green in the Peter Green exquisite touch manner. If you're a bit more of a growler you're going to need more beef.
Tim got the replication exactly right, I just need more range and grit. That's why I'm taking the PG's out and putting Black Dogs in.