Ortiz mashes RHP. Struggles mightly against upper tier LHP(he struggles against all LHP early on in the season when pitchers are known to be ahead of hitters), and hits middle tier LHP average to sloghtly below average. I think th best thing to do for both sides is bench him against the CC's, Prices, and Lee types, but let him continue against avg LHP. maybe that would be enough to get the desired platoon results and keep Papi happy.
(This is my 2 cents for worth for a conversation going on in the MLB hot stove thread the yeszir said to discuss elsewhere)