@fob Where is the conflict with the Yoast SEO Tool?
As stated at schema.org, the Structured Data for Local Business only needs to be present once per website. If there are multiple businesses, then I do not recommend using Structured Data through this plugin because only one location is properly supported (otherwise, there is data missing for subsequent businesses).
This plugin does not remove any other Structured Data. All other output remains intact. It is permissible to have multiple instances of the JSON output; it is cumulative and can build up a complete picture of a business or a web page’s content.
The Structured Data is for Local Business and has relevant information for this only. The reviews are for the business and not products, so having this on the home page (you can override this) is more logical than having it elsewhere on the website. Only one instances of Local Business Structured Data is recommended according to Schema.org.
The widget and the Structured Data do not need to exist on the same page. Structured Data is to inform external websites in a structured way, so placing this according to best practice is probably better advised than trying to match any given page’s content.
I am considering adding support for Gutenburg, but having all the functionality of the Shortcode (which is extensive) will require quite a bit of development time.