Question BP family, Do banks ever accept cash offers less than they get a property back for?

Does anyone know if it is generally acceptable to a lending bank to use my (primary residence) HELOC as proof of cash reserves when applying for a rental property buy and hold conventional loan? 

They claim to have other offers but I have doubt because it has been more than a month and they have not accepted any of the offers they claim to have.

They have a responsibility to accept the highest offer unless they have a very good reason otherwise. 

Looks like HUD might be looking to make Section 8 and Housing Vouchers less difficult to accept by initiating listening sessions across the country. 

And of course they'd rather not "experiment on themselves" (clutching pearls) to prove that there's a much more affordable solution to their problems.I'm in my forties now, and I've long been forced to accept that the world is filled with men and women who really want to be told what to do.

House for sale $ 95000.00( On MLS)ARV 103000Down Payment 20%( Buyer have total $23000 per their realtor) Buyers realtor would like to submit an offer for 90K (assuming offer gets  accepted @ 90k) on this house but would like to double close on this property.

I guess it is just a matter of finding what fits one's individual investment strategy, and what kind of cash flow is acceptable.

@Matt P.It's that stigma I guess, but like I mentioned earlier in the post, I talked to quite a few very polite people on the phone asking me if I accept section 8. 

In fact, I've had two previous tenants that came to me directly after losing their homes to foreclosure and I accepted both of them and never regretted it.