LP13? No. But I ran an LP12/Ittok/Valhalla/base cover removed for years. I have done side by side comparisons with my original unmodified 401 in the birch-ply/walnut plinth.
The LP12 had somewhat more inner detail and nuance which I liked. However compared to the timing, dynamics, soundstage stability, ability to follow individual instruments, and most of all, the clarity of vocals, the 401 was in a different league. The Linn sounded good but colored and anemic in comparison. The Garrard just sounded correct, like live music -the Linn like the best radio you ever heard. My current 401s are substantially better than the old one so I’m going to infer way ahead of the older LP12. In fairness, the new LP12 has apparently come a long way. If you can audition and like what you hear, then go for it.