Does the private lender cash out with a guaranteed return on their initial down payment (percentage or dollar amount) once there is enough equity in the property?

to get quick initial cash on cash while I am checking out the listing and then if I like it I do detailed analysis with excel if I have to send it to my LPs.

Generally, I do the initial screening myself and verify with transunion smart move.

It will initially have negative cash flow at high LTV (80% LTV)

I was initially planning a BRRR since it is currently setup as a duplex (fully gutted to studs). 

That estimate gets me to make an offer then obviously he will have the rehab team come in and give a detailed SOW, but I find his initial input to help out tremendously. 

I am a new REI and am in the process of scheduling an initial CPA consultation.

I respond with "have you reviewed the requirements which include.....blah blah blah) and I rarely hear back from the majority of folks who initially sent a request to view the property.What you are doing is correct and a good timesaver to weed out those who do not meet your rent requirements.

Properties typically eat up more cash than initial assumptions.  

My initial thought was to start updating all new leases upon renewal, while this may be what I end up doing, all of my renewal dates are scattered far apart so I was hoping to get some advice on if there were any faster options to avoid waiting too long and causing reputation damage or lawyer issues in the long run where while I failed to do enough research I did not personally set these leases the way they are.