If you format a floating topic and its subtopics it should retain the formatting when it is copied to a new map. If on the other hand you don't change the formatting it will adopt the default formatting for floating topics of the template or theme of the map to which it is copied.
Flowcharts and concept maps are a slightly different matter however. As I said in relation to a query about concept maps (which I think you may have initiated) they appear to be a cosmetic overlay on what is really a bunch of floating topics linked by relationship lines (ie, there are no subtopics), both of which are formatted in specific ways to resemble flowchart and concept map symbols and relationships.
When these diagrams are copied to another map to some extent they behave the same way as "normal" floating topics. Some of the formatting applied by the flowchart and concept map process such as the special topic shapes is retained. Also, and similar to the formatting of "normal" floating topics, if you have applied formatting such as topic fill, topic line colour etc this formatting will also be retained. Otherwise the default formatting of the new map will be adopted.
The same goes for the colour of relationship lines, but critically and unfortunately some aspects are not copied over. These include the angled nature of the relationship lines and the alignment and positioning automatically applied to topics in these maps . You can reproduce these manually but it takes time and I agree it would be much better if these were carried over to the new map as well.
One option you could consider is changing the default relationship line formatting in the theme for the new map to more resemble that of the default used in flowchart or concept maps (ie, angled lines rather than the default Bezier). I haven't tried this yet but I suspect that you would still have to do a bit of work moving the topics around to get the copied map to look like the original flowchart or concept map.
I assume you know how to make templates and how to use them.
That way the layout is kept and you can stick to BPM standards with ease.