Depends on when the money transferred has been used. But if the destination still end up to be converted to fiat and withdraw it to remittance centers or bank I guess those Bitcoin transaction cannot still effect the traditional money transfer since those institutions still benefiting for each transactions made by people.
And actually don't see any conflicting factor towards traditional money transfer since after all people cannot use Bitcoin directly to buy goods or basic things they need since they still need to convert it to fiat so that could buy everything they want or need.
Two systems would just coexist with each other, that's my take on it.
Nothing wrong with that, not every country in the world would be blissful towards Bitcoin, even in the years to come.