UV mapping might not, but if you export a converted boolean that's textured, then import it back the material is still there . . . .  maybe not quite as good but there nonetheless as this picture illustrates. The two parts on the left are the original that's been exported to 3ds and obj formats with the wood material, then imported - materials more or less intact.

However, I wouldn't care if it didn't. I just want the ability to shape parts with other apps then bring them back in. I can deal with materials when the parts are finished.

"Imagination is more important than knowledge." - Albert Einstein