However, hospitable.com also has said their updates do not influence rankings, which brings my question more directly:Airbnb clearly wants hosts to use Smart Pricing - and I do not see a meaningful difference in the results of SmartPricing vs Pricelabs. 

One thing for sure, most self-proclaimed gurus or REI 'influencers' do not mention the things you clarified above.

Are there specific big brokers that have that kind of influence to get national tenants.?

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Sphere of Influence -- personal agent dealing with another agent in the same brokerage.

Having said that, in the Coventry Road, Superior Road, Mayfield Road triangle, because it has the cemetery on one side and the Forest Hill park on the other, it is somewhat isolated from East Cleveland and more influenced by Cleveland Heights.

Do they have any influence with them?

Why should what we make influence the worthiness of the investment?

Me bcoz of their influenced and  majority of the population (abt 70%) here in Spore are Chinese; somehow I will factor fengshui when giving advise to my client and when I am looking at the property too.

That still allots power and influence.2 & 3.