Quite a bit of variables that change how much your down payment would influence your mortgage costs which would also lead into your COC and ROI. 

@Brady Tome, I would say the calculation (or more so your investment objectives) will greatly influence this decision.  

If more people are on board, it might influence the board to change.

I only mention this because you are likely not going to be able to influence who the potential buyer is going to shop the policy with more often then not they will take it to who they have their auto with, just don't be surprised if you hear the figure $5,000 and if you do let me know I am keeping a tally on the ignorant agents out there. =)

This will influence the interests that you receive from prospective tenants.

What you can get a seller to agree to can blow up due to other people who influence the seller!

How to Win Friends and Influence People - Dale CarnegiePower of Now - Eckhart Tolle7 Habits of Highly Effective People - Stephen Covey

To be direct, yes that would totally influence my decision seeing as it's about a 20% difference in both my payment and monthly cash flow.

Don't let future scenario influenced you too much, because it may not play out.I personally try to avoid any investment that introduces an increasing cost (such as coop fees or HOA fees).

World events, the Fed's position on MBS's, and a variety of other items influence them as well.That being said, there are still, and will still be deals for investors both on the market and off market.