No, not that we are aware of.
The ACH actually pulls from Prime Trust, our custodial partner, who deals with many different types of custodial solutions. As a result, it is not obvious to your bank that the funds are being used to buy Bitcoin.
In regards to wiring, there have been a few banks that have struggled to wire funds to our partner banks. If you have multiple bank accounts, we highly recommend using Chase Bank to wire funds, as their online wiring form is easy to use. If you're using Bank of America, please read here.