I see where you are coning from. In this case it might be better to use other terms for what LN represents. Tokens as in ICOs have a common understanding and meaning in the crypto space. I personally would call LN a "derivative" that inherits certain Bitcoin functions. But that's another word that is differently understood within TradFi circles. So for now the only thing that is well understood and correct is that BItcoin onchain and Bitcoin on LN are not the same. They are distinct, have a well defined relationships but certainly different tradeoffs and risk.