A baseline is an agreed-upon description of the attributes of a product. at a point in time that serves as a basis for defining change.

It is false.
Customer will have to take permission and give notification to cloud service provider.
The cloud owner (public or private) will typically require notification of assessments and place limits on the nature of assessments. This is because they may be unable to distinguish an assessment from a real attack without prior warning.
Ref: CSA Security Guidelines V4.0

One of the key challenges in cloud computing is its distributed environment and dispersed data centers across the globe. It is very difficult to trace data location in public clouds.
Therefore. Assurance of data location is key advantage of private cloud.