Wholeheartedly agree that "price per value" is meaningless. Clearly, the intended point being made is just "value." "Yes, the drink costs $16, but I still consider it a decent value," i.e., "I get enough satisfaction for my $16."
If Value (V) is considered to be how much "bang for the buck" you get, then it can be represented by the equation "Quality or Enjoyment (Q) / Price (P)." Thus, Price per Value is P/V or P/(Q/P), which equals P^2/Q and has no real meaning. Indeed, a quick look will revel that something that has a
very high price and little quality or enjoyment would have a very high "price per value," so it means the
opposite of what was intended.
Which made me think of other phrases people routinely say when they mean the opposite, such as "I could care less" when intent is to say "I could
not care less" or when people say "irregardless" when they really mean "regardless." All of this piggybacks off of
@Lilsia 's comment: