By asking for referrals, he found someone to do a nice stone wall on the fireplace for $600 rather than $1000.

That usually means a deed research day by the fireplace for me ;-)

Do they have the same presence/absence of other amenities like decks, patios, fireplaces, pools, etc.?

Ours had a permit but we still had some issues with getting past the code due to new restrictions on fire places and string lights (nothing crazy).Side note, I stayed at an Airbnb in dripping springs this weekend.

(There are also 2 fireplaces, which would use the propane, but they are not functional). 

Sometimes the old stoves or fireplaces had asbestos sheets around them.

she also spilled candle wax on the limestone fireplace.  

Craigslist yields $625 for a comparable unit in a stand alone duplex up to $775 for one with a fireplace and basement.

All the apartments had gas fireplaces. 

Roller lint on walls, paint on recepticals, painted dirt, bad spackle job painted hard, paint on fireplace stone, and this in reo homes painted by owners...remove one degree of care for tenants (not all, but you never know which).