It looks like you installed the built in E5 model in machine learning. To use that model you should use the _ml/trained_models APIs as you have correctly noted.
The inference API is new integration point that enables access to LLMs hosted by OpenAI and others. I recommend upgrading to the latest version of Elastic to get all the features
GET /_inference/_all
Unfortunately the docs are wrong on this one. The GET /_inference/_all form was added in 8.13 and is not available in 8.11.
These 2 calls should work in 8.11
GET /_inference/<task_type>/_all GET /_inference/<task_type>/<model_id>
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