All pool members are online. All other virtual server settings are at default What might after the load balancing behavior?

Enabling SNAT automap affects the source IP address of connections from the BIG-IP to the pool members, but it does not alter the load balancing algorithm's decision of which pool member to select.

Enabling a fallback host in the HTTP profile is only activated when all pool members are offline; since the question states all pool members are online, this setting would not affect current load balancing behavior.

Adding a OneConnect profile optimizes server-side connections by allowing their reuse, which primarily enhances connection efficiency rather than directly altering the load balancing algorithm's decision-making process for initial client connection selection or promoting client stickiness.

A persistence profile ensures that requests from the same client are directed to the same pool member for a specified duration or condition. This overrides the default load balancing algorithm for subsequent client connections, directly influencing which pool member processes the request and thereby altering the load balancing behavior by promoting 'stickiness'.