The issue of provenance is an issue regardless of the type of funds.
In most jurisdictions the burden of proof is civil, so more likely than not.
The original claim is easy to prove: it'll be in a wallet which was held for that amount of time. The bank isn't obligated, unless you turn up covered in blood, to prove that you didn't just beat a guy with a hammer till he gives you the password - because you'll go down for that crime by other means.
But very few people engaging in ongoing criminal transactions are going to have a supply of aged BTC accounts to use in trade for goods and resources, and certainly you'll trigger red flags if you keep turning up with a brand new "held it for years" account of $50,000 each week. I mean we know this: because it makes headlines when untouched BTC accounts start moving.
Simply swap into monero and then send it to anybody else.. Maybe lets say you have 100$ in btc, you convert it to 100$ in monero and just spend 10$ 10 times in a span of a week and I am sure that nobody can keep track of it.