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Also I'd offer the following argument that my proposed strategy pair is an equilibrium:

The BB's strategy is a best response to the SB's because:
Following an SB raise, the best response is to call with any hand that's good 25% of the time against the SB's raising range (since he's getting 3:1). This means he has to call with hands < 6/24, has to fold hands > 15/24, and can call or fold with hands in between. BB's calling threshold is 12/24 so that checks out.

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Your own link to Tom Ferguson says BB must call halfway between SB's value bet and bluff points. Else SB can be exploited. Whether you're using low or high values as best hand. The call point is not halfway. It's closer to the weaker hands. SB will bet more value bets than bluffs.