The value of the field will always be in $field['value'], what format that value is in depends on the type of field it is and what the return format is set to if that is an option available for the field.
For example, and image field can return an ID, a URL or an array of information and this is what you’ll find in $field['value']
I’m not sure what you mean by data-type = ‘group’.
wysiwyg is not an index of $field
Are you sure you want to be using get_field_objects()? https://www.advancedcustomfields.com/resources/get_field_objects/
