The police only have to read you your Miranda rights if they intend to interrogate you in custody. If they arrest you but don't ask any incriminating questions they don't have to read them. If they don't arrest you but question you they don't have to read them but you don't have to answer either.
Mr. Kaman has presented probably one of the most succinct answers to this question. We've all no doubt been asked this before by defendants who complain that they weren't apprised of their Miranda rights. It all comes down to whether you are or aren't interrogated. On a DWLS charge, they don't necessarily have to interrogate you to get what they need to prove the case.