Pan Law settings won't affect this.
There is, however, a sort of "pan law" built into the Mono button. It mixes the two channels together and then divides by two (6db attenuation) and then puts that out on both channels. If the material was 100% corellated on both channels (dual mono already) to begin, there would be no noticeable change because it would be (1 + 1) / 2 = 1. In a real stereo signal, especially a full mix, the two channels are obviously not perfectly correlated, so when summed together they won't end up exactly twice as loud, so the compensation in the process is "too much". The middle panned elements of the mix should actually stay exactly where they are, with the side elements seeming to be slightly attenuated.
If it is actually noticeable and makes the track sound really different, well that's exactly why you're checking in mono. It indicates that you're doing something that isn't translating properly. I'd bet dollars it's some fancy phase fuckery super stereoizer or m/s mindgames that you should hope disappears completely in mono cause if it doesn't, whatever's left will sound really stupid.
I've never actually noticed this on the meters, but it makes sense. It's not hurting anything and you really shouldn't worry about it. That button is after all the track FX, so it's not changing how they work, and you shouldn't be trying to set your final distribution levels while also checking Mono compatibility.
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