You can not correct any phase errors in the mixing. If the mastering is in opposite phase you can assume it was done deliberately. No professional sound engineer makes that mistake.
You can only reverse to compensate for design errors in speakers and gear, cabling, bad positioning, room acoustics.
If a soundtrack sounds "better" with reversed phase in your room and with your equipment it only means your room acoustics, comb filter or standing waves are less annoying / less counter productive when you reverse the phase.
That is all, nothing more, nothing less. In another room with other equipment the result can be randomly different.