It can but is much less likely. If you can get it the black foam board is much stronger than the white and usually only a little more expensive, the foam in the middle of the black is sturdier stuff. Make sure you coat the foam edges in PVA glue or acrylic paint of some sort before spraying with primer. Spray paints will eat the foam.
One of my favorite basing materials for scenery is old CDs. Of course this only works with smaller items but CDs make great bases, they can be tricky to cut and need to be filed/sanded around the edges because they can be sharp. Don\'t know what it\'s like in the UK but I\'ve got hundreds of extra CDs kicking around, many of wich are AOL demo discs I used to get in the mail, blank CDs are relativly inexpensive too.