There is no such thing as asking for a lawyer prematurely. Cops are allowed to lie , mislead anyone they want basically. Always make sure someone unaffiliated with law enforcement is around as a witness because they will lie for each other.
Demanding a lawyer, and refusing to answer questions, explicitly should not make you look like a suspect in the eyes of the law.
(The eyes of the investigating officer may be different, but they must follow the law in the end.)