[The Armchair]

The problem is that "piece plus rag" hands gain certainty but not necessarily any more than your late-position opponets.

Example: You have A3. Board is AJ6. (Ignore suits. Thanks!) By tossing your 3, all you gain is the knowledge that your kicker will certainly not play. But your late position opponent now has perfect knowledge. He can be sure that his AQ is good right now.

The liability you incur by RBB is enormous. Therefore, in order to utilize the option, the RBB would have to be very high. Given that drawing hands are often going to be using both cards, that's also the case for them.

I think the outcome is that if I'm going to RBB, it's because I'm intending to fold. I can't see a value that'd make it worthwhile otherwise, save for 100%.

Now, if you did this w/3-card pockets, everything changes.