In terms of the second scenario, the upside I see is the option to get a different kind of loan (say, FHA with a lower down payment and other assistance programs for K-12 educators like me) since I'd be getting a new primary residence instead of a second home.

But I do appreciate r this sentiment as it does lower competition in the area :). 

Do you buy homes that do not satisfy this rule, or do you just make lower offers so that you adhere to that rule?

As an example, although we are “hard money” lenders we seek lower rate long term financing for our real property investments.  

It is in a northern MI Downtown area (opp zone) in a county seat with 2 hospitals, had it re-zoned to mixed use, and is considered blighted which makes it eligible for MEDC funding of up to 50% of project cost.It is 8k sqft (4,000 each level) with the lower level being a walkout (top level is street level with sloped drive down to the rear of the building).

By year two, he refinanced to lower his rate and dramatically increased his cash flow.

Hello Vivian, there are a lot of opportunities to invest in Tulum downtown, the beaches are occupied only by hotels and restaurants, this is the best time to invest in a pre construction unit at lower price than the finished units with a difference of 25 to 30% bellow market price, check this website to view some opportunities www.tulumrealty.net

Big picture, however, I am building a plan and team to invest in strong markets with lower entry prices to BRRRR 5+ unit multi families.

While cashing out more equity might seem appealing, it will result in a lower cash-on-cash return due to the higher rate and LTV.

Obviously right now is a lower valuation, but there is always ways to take advantage of the currency spread.