Great advice... when one is paying for an existing mortgage, AND paying a lease at our new location. Exactly what money am I suppose to save at this point? Sorry, but there is none.
As to your second claim regarding negotiating - that is blatantly false. Might a cash offer be somewhat more attractive to sellers, particularly those who are motivated by a schedule (such as our own position trying to get out from under a home where we no longer live) - certainly. But I’ve seen lots of successful negotiating that a mortgage (or lack thereof) made no difference.
My wife is a loan assistant/processor - so I’m pretty acquainted with how the system works.
If I am interested in a property I first arrange and pay for a zealous home inspection. The inspector documents everything deficient. Then the seller is required to disclose those deficiencies to other potential buyers. No mortgage company will write a loan unless those things are remedied. So I knock the price down for the spread. $40k off most times. Mean I know. But it works.