In your case, you're wrong because Digital Currency means "Only Digital", where the form of exchange is of information not something physical. FIAT currencies are pretty much all excluded by definition.
Digital currency is the criteria THEY specified. When making vague hand wavey claims to your superiority, you should expect people to point out how silly it is to make vague hand wavey claims and how that usually means the claim is BS.
If they wanted to compare to decentralized blockchain based p2p currency then they should have said that. They didn't, so any digital currency that beats them in transactions proves them wrong.
Its really not that hard to make truthful statements. "We're the highest transaction decentralized digital currency on the market". One additional word to clarify and no one here is arguing this point.
Digital currency does not require decentralization, not sure why you and others keep bringing this up. They aren't claiming to be the biggest decentralized, they're claiming to be the biggest digital currency period.