Structure burned down, Rebuild $ vs. Remodel $

[Kaneisha Forrest]

We are in the very beginning stages of rebuilding our burned down structure.  Yesterday the structural engineer stated there is one sound wall, however there is the option to demo it too.  For the pros here, what is the financial advantage (if any) to keep the 1 or 2 remaining wall(s)?  I understand permits pulled for a rebuild is different than that on a new build.  Although, I've been a member of this forum for years now I have yet to bite the bullet and flip anything which means I am completely ignorant about all of the numbers and the process.  Thanks for any assistance.  I'm not looking for exacts, ranges will do.  Thank you again.