If your net cash from the refi is better with one, and your monthly is unaffected then I'd suggest not giving too much concern to what the monthly amount goes to. 

My turnover has largely been unaffected, just renting less brand new units at the moment, but starting to pick up again.

Does that change the DSCR for the lender or is it unaffected?

Get a good one that knows his or her stuff.Remember also that your FICO score is unaffected by your shopping rates within a 2 week period.

The Sheriff of Cook County has been ordered to cease the execution of orders for possession beginning on December 16, 2013 (they don’t evict on weekends, so really, tenants who are not evicted by December 13 will be unaffected until the moratorium ends) and to resume evictions effective January 3, 2014 (a Friday, so, again, there really are no evictions until January 6, 2014).

Depending on the number of units you are looking to invest in you should also be aware that the value of the property is driven by the rental income and is unaffected by the areas appreciation rates.

Tenant leases are usually unaffected by a change in ownership.

I don't know if it increased value necissarily for those houses unaffected but I know it couldn't have hurt it.

Even if you dont refinance, and your debt service stays the same, your cash flow is unaffected by the growth of equity.  

For a lot of class B multi-family, the combination of increased UI benefits and stimulus payments have allowed collections to stay relatively unaffected.