Is it bad to smoke different tobacco blends out of one briar pipe?

[unclegoose]

I have been smoking a pipe for about 4 months now (1 bowl a day) and really enjoyed it. I decided it was time to upgrade to a briar pipe. I like to smoke a variety of different tobaccos and mix it up. I have read that it is recommended for Briar pipes that you don't smoke different tobaccos out of one pipe. Does it taste bad if you smoke different tobaccos or is it just better if used for one specific blend. Would i actually be better off sticking with the corncob if i wish to continue smoking different tobaccos...... or would it be ok to buy a good briar pipe? (also I am not willing to spend a lot of money on multiple pipes for specific tobaccos so I can only buy one new pipe)
http://www.edwardstobacco.com/proddetail.asp?prod=BBAR700M&cat=16 -this is the new pipe I'm considering buying.