this is correct. the main advantage of a VAT is incentive alignment. every intermediary producer must collect and remit VAT if they want to claim their VAT refunds for inputs. i.e., a seller of a good in Europe must collect VAT if they want to claim a VAT refund on whatever they paid for the good.
compare to American sales taxes, where sellers have no economic incentive to collect sales taxes beyond the probability of being caught and fined.
compare to American sales taxes, where sellers have no economic incentive to collect sales taxes beyond the probability of being caught and fined.