(Re: child as can't post reply - Assam was always effectively surrounded by larger empires (Tibet, Myanmar, Bengal/Pala/northern India) and a disease-ridden tropical backwater so I guess its cultural and political fate was always to be dominated by larger outside influences.
Actually IIRC there's some linguistic history in the Taic languages that Ahom influence moved eastward through Myanmar. If you look at the geography (much wider spaces) it makes sense that you'd shift focus to richer climes. Perhaps much as the south Indian seafarers who contributed so critically to Cambodia saw it as a vast and wealthy land with geographic echoes of home.)
I agree that Thai is in a completely different language family than Chinese, but I don't see what this quoted bit has to do with anything. (And surely it would apply just as well to their neighbors to the west, who do speak a Sino-Tibetan language)