without getting into the base thing, there are better kickboxing styles which blend boxing better in them than the traditional asian ones.
So if that is a goal it might be a good idea to look for generic kickboxing schools. (i dont know how U.S boxing differs from U.K though)
This isnt a experts view, but the base of Savate seems to be hands are a mix of Anglo and french boxing and kicks come from where ever so obviously works better than doing TKD to get your kicks blended in easier and faster. Just a example anyway.
(but then nothing says you cant do that anyway, its more efficiency and speed)
Not insulting the Asian styles anyway.
edit: also worth noting, bartisu merged Boxing, savate, jujitsu and i think mainly vigny cane fighting. And that seems to have worked pretty well.