Since you are looking for a blanket loan for multiple properties, there won't be a fannie mae restriction and it will be up to your local bank (or whatever lender you use) to determine timing on when they will lend, and how much they'll lend.

Or is it possible that something that looks like multiple layers isn't actually multiple roofs?

Many Landlords get military contracts for their multiple holdings. 

Agreed, multiple times investor/agent no issues

I love seeing subjects such as this one from multiple angles.

Being approved for multiple mortgages?  

Or did you mean a multiple of .004 (which would be .4% or 400 responses)?

Many multiple offer scenarios, and we are frequently confronted with the cash vs financed offers.

Default 20-25k or settle 20-25k of multiple credit cards.  

Multiple marketing messages in one mail piece would increase effectiveness.