I buy and sell bitcoins using euro. I trade those euro to kroner when I cash out. The only use of the dollar for me is as a reference, in order to ease communication with people from a certain part of the world.
The value of bitcoin is measured in shit you can trade them for. Once upon a time you could trade 10000 bitcoins for a pizza. Today I could trade five of them for a boat. Fiat is just how we talk about value, but that does not mean that bitcoin is in any way tied to fiat.
But, but... I thought Bitcoin was measured in Canadian dollars.
Indeed it's what you can trade them for that determines the value of bitcoins, be it pizzas, boats, EUR, USD or terahashes of mining ASICs.
Perhaps we should just value them in bitcoins. One April 2017 bitcoin is worth 25 March 2013 bitcoins.