I agree, assuming you only pull out what you put in, you will be in a similar position for property #2. I haven't used hard money, but I hear there is no holding duration requirement; some traditional loans require you to hold it for 6 months or 1 year. Also if the property is a wreck, you may not even be able to get a traditional loan. Also I hear with hard money, it is quick turn around with less document checks. In NY it will take 70-90 days to get a mortgage turned around.
Fake numbers:
* Purchase: $400k
* Fees/Transaction Costs/Repairs/Holding: $200k
Assuming equity requirements are 25%, you'd need the property to appraise/sell for 800k to get your 600k back out (and return to the lender). While your immediate position doesn't change, you now own a property with 200k of currently inaccessible equity.
Also with your first one, if you can put down 5% or equally low, occupy it, and do a live-in flip, you may not have to refi; save up for another 5%, do it again, new primary loan, etc. Not sure all the rules around low down payments, so this may be a falsehood.
Joe