Allow AWS Secrets Backends use AWS Connection capabilities

[Taragolis]

In additional added new Extra Connection parameters

• profile_name - this only one parameter which could be assigned to session_kwargs without any side effects in current provider, so I thought there is no reason use session_kwargs.
• verify - this parameter could specified at that moment only in hook (right now), but not in connection.

Update documentation and split Extra Connection Config by sections.

closes: #25326 (updated, initially mention wrong issue)