The duty solicitor scheme, which operates in both police stations and courts, is a rota of criminal defence solicitors and it is perfectly true that if anyone goes to the police station and asks to speak to the duty solicitor before they have the “informal chat” with the police they may have a long wait before the duty solicitor is available.
To avoid a possible long wait I would suggest you ask the member of staff to speak to a solicitor with experience of your local police before they attend, even if this means delaying the appointment, and see what the solicitor suggests is the appropriate course of action.