During my work travels across South East Asia about two decades back, I used to be surprised by relics of Hindu icons languishing behind majestic Buddha statues (in alcoves at Angkor Wat) or lying dejected (at Jakarta Museum). Coupled with extensive commonalities with Indian languages in countries like Indonesia (Bahasa) and Cambodia (Khmer spoken alphabet seemed almost identical to Bangla, though the words and script are not), this may give the impression of Hindu culture being 'subsumed' by an expanding Buddhism in SE Asia (later to be overriden in some regions when Islam came in).
But recent research (as quoted in 'Coromandel' by Charles Allen e.g. Ch. 4) appears to indicate that similar subsuming of Buddhist and Jain culture, or the temples at least, may've happened right here in India. So it was never a one way street!