Was the Falcon originally designed with strapped on in mind?

I think there is a version of LM5 with LM7 strap-ons' as boosters.

http://www.americaspace.org/?p=22881
 

"The Long March 5 alone has 6 configurations."

In any case the central LM5 core could be suitably strengthened if 2 or more LM5 strap-on's are added.