It was stated at the begining (or close to) that bottle genies are nurturing maternal types. I’d say Jeanie’s adaption to womanhood has been helped along by it but that it doesn’t force behaviour. Remember the genie formed is based on the humans idea of what a genie should be hence the large number of blue aladin style genies. Its possible this is part of Jeanie’s idea of how a genie acts but she isn’t being compelled to act this way.