Once you're reimbursed, the project is sold and you replenish the HELOC. 

If the Govt shutdown goes on for an extended period of time & the piggy bank needs to be replenished then yes this will create a major issue for Landlords.

Tell them they can only swap the fridges if you replenish their deposit in full.Next, why the hell did you ever let them use the deposit?

Petitioner's (taxpayer’s) uncontroverted testimony was that B'Mae's undertook the advertising, guest registration, housekeeping, and inventory replenishment in exchange for a fee equal to 40 percent of the proceeds of any rentals.

Or do you eventually save a specific about of money depending on the house and just replenish that amount when something needs to be repaired? 

Visit builders, regular drop-bys, replenish business cards, network.

Replenish, and add to, savings until you’re comfortable with reserves3.)

California is famous for going after out of state landlords and a few other states are doing the same as they try to replenish their coffers after the economic downturn of the last several years.If you do have rental profits, almost every state will require you to file a return and pay taxes as a non-resident.  

I suppose different PM may handle things differently, but one I use keeps a small (300-500 per house) maint reserve that I replenish if they use it toward repairs.  

If this were for a potential flip and things looked incredibly good, I would be slightly more inclined to purchase with a little bit less of an emergency fund as you would be creating a quick turnover and could replenish the savings (hopefully).