If so, having been in their shoes, it is not trivial to open a bank account until you get a SS#, etc which takes a few weeks or months after arriving.In some countries it is not unusual to pay at least a few months upfront. 

They then started receiving notice of (IMO) unusual feedback - that the security deposit would not be refunded in full because there was dust on top of the washer - stuff that just doesn't sound legit.  

If you are interested in doing any development, especially anything unusual like tiny houses or pocket neighborhoods that typically require re-zoning or special use permits, neighbors can get very alarmed and protest those changes to the zoning board.

Is this unusual wording?

This is quite unusual in that, if I wanted to check on my property I text my tenant and get a response back within a day confirming when I might be able to do it! 

That number (19 of 22) is unusually high.

Thirty calls in a day is not unusual for us, I'm sure it does vary by area.  

That is extremely unusual and sounds like BS to me.

Does anyone have any unusual policies/ conditions they have started including in their rental agreement addendums?

It is highly unusual not to have a bank account, but verify all these other criteria and see where they fall.I have not encountered a tenant without a bank account, and our company only takes checks or money orders.Good LuckGino