Saying that the concept of money is 'widely accepted' is like saying the same about the concept of God. Yes, people use it with confidence but they don't know what it is or mean different things by it. Science has always served to clear this sort of cultural mysticism; it has done so with God and will do so with money
It doesn't look like a good idea to draw in God here
Anyway, science explains the concept of money pretty well and coherent, so there definitely is an accepted definition as well as understanding of money among mainstream economists. And it is not the concept of money itself which gives rise to many debates (as I said, the concept is well-established). It is things like forms of money, their impacts on society, ways of creating new money and so on that are a matter of heated disputes
Money will remain as long as it has a purpose as money. What many people debate is a new concept of money known as digital money. Digital money itself is another form previous money and digital money has another concept than previous money, but digital money has same goal as money in general.
Well this increasingly heated dispute must be resolved immediately, because inevitably government or community must accept new money. Because it is a condition for advancing to more modern times.