Will Magnavox and Insignia remotes conflict with each other?

[olivehead]

i've search and can't find where this has been addressed before. can anyone tell me if any funai manufactured player's remote will work any other player manufactured by funai but differently branded? in other words, would an insignia remote also operate a magnavox player, or vice versa? i'm thinking of adding an insignia player in the living room where there's already a magnavox brand, and wondering if the IR "signal" would work both players at the same time, which obviously i don't want.
thanks for any info.