Your mortgage is designed to keep you in debt indefinitely and charge you as much as it can up front, so your scheduled payments are loaded with interest and do very little to bring your principal down early on.

A financing contingency clause is more to protect the buyer from backing out of the purchase agreement if they can't secure leverage, or to set an allotted time, so that sellers don't need to wait for a buyer to get approval for finance indefinitely.

I could live there with no tenants indefinitely as long as I don't lose my job.

For your sake, I hope that continues indefinitely.  

Its perfectly legal and for future due diligence purposes, they leave a copy of the judgment posted indefinitely along with the individuals name, state and city and or company and shareholders name posted on the website until they either(1) contact the creditor to work out a payment arrangement (2) come out of hiding to allow the creditor to gather more information to help serve them with additional paperwork or locate assets or ( 3 ) pay their debt in full

No tenant is going to stay indefinitely and no property is going to stay maintenance free forever. 

From my understanding I will inherit this tax rate as will my children and their children indefinitely.

You might let them know that you are planning on making some capital investments in the property ("You get a fridge, and YOU get a fridge, everybody gets a fridge"), and that those improvements and your great service will continue indefinitely, but those types of improvements cost money.

So, it is definitely important to get the initial rent as high as possible as the new tenant could stay indefinitely. 

You accepted it the way it is, and you are still okay with living there indefinitely, you're just mad that the landlord is greedy.