If these guys are indeed a no frills issuer, which appears to be the case thus far--though this somewhat remains to be seen (after all, they may bring in more options as they grow--things like increases, AUs, and more verification possibilities), then they have every right to not hire staff whose sole purpose is to verify details like mismatched addresses. They are passing along a 2% cash back program and a 0% interest rate on purchases over $199 to you, the consumer. Keeping costs down is essential for such a model to work.
In any case, this company not having a verification department doesn't give an applicant the right to have a HP removed. A HP says you applied; and guess what?? You applied!
On a side note, you should never use a brand new address to app. for anything. Mail forwarding exists for a reason. Use the addy in your credit file and update with the bank immediately afterwards. Otherwise don't apply for anything until you're sure the bureaus have your new info. If you're applying for something in branch, PBOs will put the app. through before effecting an address update. I know this from working in branch myself.
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