The courts give latitude to the police in an investigation relative to the safety of the officers and the complexity of the investigation. Each case has to be evaluated on its merits whether a detention was excessive and constituted an arrest.
Wouldn’t it be better to request “an attorney of my choice” rather than “my attorney” if there is none specific in direct mind? Otherwise you are asking for a nonentity. And chiding for not having one in mind is not an answer to the question.