If you have enough to spare then burleys certainly deserve their own pipe.
Like Virginias, burleys can have fairly subtle flavours.
Latakia swamps a pipe completely. Burley would be lost in a pipe reserved for English blends.
I agree with rhogg that burley does not leave much of a ghost in and of itself, therefore it is a great tobacco for breaking in pipes that you have not decided to dedicate to anything. It is also good for eventually exorcising ghosts...