Wouldn't a conscious entity be able to grow its intelligence over time independently? LLM's require offline training and dont actually learn from their "lived

Wouldn't a conscious entity be able to grow its intelligence over time independently? LLM's require offline training and dont actually learn from their "lived / sessions / chats ect". Those can be used for training data but its not like its an implicit part of the technology. For this reason I would say LLM's are not conscious, or automatically conscious.