I agree. The BP should be shown/included when bidding.
Although I have only bid on a couple/few items from an auction house, imo, the process should be as seamless and friendly as possible since the AH's main objective is to attract potential bidders and keep them coming back.
Like any business/store, etc, when things are difficult to find and spread all over the store without any semblance of being organized, easy to find, making the purchasing process as easy as possible, I can't help but believe that that business/store might not be in business for long, or it sure won't get the customers that another store that does the opposite of those things will see.
Just my .2 cents, for what it's worth.