Spiderman is gonna be rebooted sooner or later anyway so its really not a question if to reboot but when. Very few series have a Bond like ongoing self life and they even rebooted that with Daniel Craig. They really haven't rebooted that many comicbook film products because their reallly haven't been that many viable products until this century. This boom of comic book films is relatively new as is the term reboot it self. A reboot is is really a remake, which has been done since the beginning of Hollywood films, so this isn't some new thing.
Sherlock Holmes, Zorro, Superman, Batman, etc have been "rebooted" time and time again usually for each new generation. The only difference between then and now is that the remakes are happening in a shorter gap of time in which their isn't as big a gap between generations. As a result you have more fanboys at odds with each other because their version of a particular product is redone sooner than they would like. The reality of the situation is that the GA is alot more open to reboots than fans would like to admit, assuming the product is good. The GA embraced TDK films in a relatively short period after the 90's Batman series, They embraced Casino Royale reboot just 4 years after Die Another Day, and they did like ASM just 5 years after SM3 so audiences are open to a new version given the quality of the product. This battle over reboots as mainly among fans.
Yes, their are people who get mad that they're replacing Bale with Affleck, and rebooting the Batman series but those same people are the ones who are gonna be standing in line opening night of the new version anyway. Not saying that close reboots can't be an issue but its really not as big an issue among the GA as it is among fans.