They 100% are relevant as that's where the money originated from. And a third party service was used to receive the payments. So the paper trail would be as follows: cam site > First choice pay (shut down) > whoever pays out the wire transfer (I'm assuming the insurance company)
Those would be the requirements to properly prove where it came from and declare the money as income and pay the tax along with it. But again in most cases I don't think many banks will be asking questions unless the sums are like 5-6 digits.
The declaration of income should only be based on that paper trail of payments from the cam site to whatever bank account you chose. In this case, it happens to be Choice Bank. For example, if MFC paid you from Jan to Dec in 2017, you would declare those payments whenever you are supposed to declare income for 2017. The government would not care when you took money out of your bank account. Whether you saved your money or spent your money, it's still income for that year. Right now the discussion is about transferring money between two banks.