1) You know why Battier hit 7 threes? Because the Spurs defense was leaving him open, in hopes of containing Lebron.
2) It's nothing Battier hasn't done before. He plenty of times has come up clutch when his team needs him, including a big series in the finals the year before against OKC.
3) Again, the shots were WIDE OPEN shots. Nothing fluky. The Spurs just had a defensive strategy for that game that didn't work in their favor.
Don't make it seem like Miami had all kinds of lucky stuff happen for them to win that game 7. The Spurs had a strategy. Miami made them pay. That would be like a Miami fan saying that Danny Green had a fluky series, because of all the 3s he was hitting. No, he was getting insanely open on a lot of them because the Heat were too focused on sending extra help out for Parker's defender. Once they realized that Parker doesn't need to be doubled to be contained, Green didn't get many open looks, Parker struggled to create, and the Spurs offense suddenly didn't look so great. This right here IMO is the real reason this series even went to 7. If Miami would have just played TP straight up all series (which anyone with a brain knows that is how you play TP, doubling him is the worst thing you can do), there would have been far less of those 3s by Green and Neal, and Miami probably would have won sooner, perhaps in 5.
Either way, the Spurs flat out got beat. End of story. It wasn't a fluke. They simply didn't deserve it.
If you want to call Ray's 3 a fluke, then you could say the ridiculous step-back 3 that Parker had just hit a minute earlier was a fluke. In fact, it was actually more fluky, because Ray hit a shot he is arguably the greatest in NBA history at (a spot up 3), while Parker threw up a shot he almost never would take, and would probably miss 9 times out of 10. It was the epitome of a "hero" shot, that he somehow hit.