Email is usually a good option when you have a legitimate, specific recruiting question and a relevant recruiter contact.

Keep it short. The consulting recruiter email guide shows a simple structure: who you are, the context, the exact question, and a professional close.

Do not ask the recruiter to review your entire candidacy by email. Make the message easy to answer and avoid following up repeatedly after a day or two.

Short email > LinkedIn wall of text imo.

Specific questions get replies. 'Can we chat about opportunities' usually did not for me.