EAA family permit is valid for a EU national married to a foreigner (non EU citizenship) already residing in a EU country. Meaning this person have a residency card in a EU country (outside UK).
So it do not mean you didn't go thru a Fiance or Spouse visa, this process was followed in the residency country. A Filipina needs a visa in all E.U. countries ...
So I don't see how it can ease the process in UK...
Getting a Spouse or Fiance visa in a country where you are not citizen is more complicate and really not easy. Don't dream!