Not small in terms of the money involved, not a country either.
Ha yeah, it's an Emirate and a city, but it's the de facto capital of the Arab financial world. Its growth over the past decades is nearly unprecedented I guess and the wealth over there is just mezmerizing. If some of the people there just to decide to drop "a few bucks" in Bitcoin, the price will react. A lot.
one same answer to your questions,
what if a small part of GOLD market fund goes to bitcoin,
what if a small part of STOCK market fund goes to bitcoin,
what if a small part of OIL market fund goes to bitcoin,
what if a small part of ALL WORLD FINANCIAL CAPITAL, PAYPAL,WESTERN UNION goes to bitcoin,
what if a small part of Cyprus Argentine Greece capital goes to bitcoin
No, they just don't, at least not for a very long time if bitcoin can live that long