(Check out the TdF official website for the years Armstrong was in the race- It only lists "Armstrong - disqualified for doping").
He has never won a tour de France.
In football, for instance, steroid use seems to not be so offensive. Baseball is a bit different, so it seems. Tennis ...maybe no big deal.
My personal opinion is that sports are entertainment. People pay to see fantastic performances. We pay other entertainers to look and perform in ways normal folks can't. We have no problem with actors, singers or dancers filled with silicone, cut and pasted and doped to the max so they can function they way they want. So why the problem with an athlete enhancing human performance?
As to the TdF winner designation for Armstrong; the list of past TdF winners includes Marco Pantani, Bjarne Riis and Alberto Contador. Pantaini tested positive numerous times and died of a cocaine overdose. Riis admitted to doping and Contador was caught flat out and suspended. Yet, their names are still there.
I think if you could ask all athletes at the point of turning pro whether they would risk future health problems to use dope and dominate while they are young, the majority would say, "Yes". That means nothing beyond the human desire for fame and fortune. Is that abnormal in the world that oogles over "Dream Teams" rolling over amateurs in the Olympics?