Not possible, the normal surf uses liquid natural sugar, less breakout (foaming / fizzing) ets why the texture seems to taste dense compared to non sugar products, they taste foamier and "thinner".
the sugar is what gives it it's mass, if that makes any sense.
Does make sense. Coke zero, and diet coke are passable but normal coke has that syrupy taste/texture you are talking about that makes it real nice.
Pepsi Max is my favorite though, they have it worked it out, it tastes better than normal pepsi.