Update:
Turns out both toilets are siphoning one another. Neither will siphon the other to where it breaks the trap seal, but to the extent where only the minimum amount of water necessary to maintain the seal is left. Flushing a toilet with such a small amount of water basically produces a lot of air bubbles and a weak flush.
How do I fix this right, guys? Saw a number of other threads on this forum where someone suggested that a toilet having a 2" or 2-1/2" output would never fill a 4" pipe to where it would siphon another fixture. Clearly, this is false, given my experimentation here.
HJ, I read your last reply, but I think you may have meant "...since it would still flow past the LEFT toilet which..."?
Thanks.
EDIT: If there is any other solution which wouldn't involve breaking up tile and concrete (another type of toilet, etc), please advise.