I was never good with the maths around electrical stuff. It explains why I struggle to digest beyond the first chapter of the Art of Electronics. But I have some intuitive sense.
If the pipes that carry the audio to the drivers have a thin return pipe that is shared, then the relatively higher pressure or volume of electrons could arguably go up the 'wrong' way on the return pipes of the smaller drivers or affect their 'flow' or pressure.
But if there is a big FAT return pipe that is bigger than the sum of all the pipes feeding the drivers from the filters, then logic would suggest they would drain freely and not go the 'wrong' way or affect the upstream pressure in any meaningful way. A simple way to test this hypothesis is to significantly decrease the DCR of the 0V cable that takes the ground from a common (star) point on the crossover PCB back to the amp to see if that yields the same improvement, as others have posted about in moving the crossover closer to the amp.
The other possible effect at play is modification of the transfer function with the added DCR downstream of the crossover, which affects the LCR seen by the respective filter sections.
Conversely adding say 0R22 to the amp return should make a negative impact.