It could (maybe) help against traffic being direct hard evidence, but would not prevent heuristics like timing and overall money movement. And for some reason all the heuristics bullshit is way overrated in the cases I've seen it used.

Multi-path may help a bit more depending on total penetration rate, but still it is risky. Bottom line, I think that delegating security to centralized coercible service providers is not how we create robust, private networks. It instead creates single points of failures.