No, it isn't. Banks exist to induce stability and liquidity (i.e., the efficient flow of capital) within the economy. Hot dog stands exist to sell hot dogs. Money exchanges exist to transfer currencies to (you guessed it) facilitate commerce in different regions.
The hair you're attempting to split between "laundering" and "washing" does not exist in the financial world, and would not impress financial regulators.
The hair you're attempting to split between "laundering" and "washing" does not exist in the financial world, and would not impress financial regulators.