Just to clear up the history a little bit...
1. The Canaries never belonged to Portugal in any way that left a significant genetic imprint, and what Portuguese claims to the Canaries existed comprise a distinct historical episode from the 60-year period of Spanish control of the Azores (and of Portugal and the rest of the Portuguese Empire).
Yes, Maciot de Béthencourt purported to sell the lordship of Lanzarote to Henry the Navigator in 1448, and yes, the pope (briefly) recognized the Canaries as being Portuguese. But Castile never accepted that, and the Castilian settlers didn't, and the local Guanche peoples didn't. There was never a big wave of Portuguese settlers, and by 1459 the last of what Portuguese were there were successfully booted out of the Canaries -- so no opportunity to leave a big genetic imprint.
The Treaty of Alcáçovas in 1479, between Portugal and Castile, finally settled definitively that the Canaries belonged to Spain (and that the Azores, Madeira, Cape Verde islands, and future discoveries to the south all belonged to Portugal), but again, the only real period of some degree of settlement by Portuguese had ended already in 1459, just eleven years after the purported sale to Henry.
Which isn't, of course, to say that there aren't some Portuguese-descended people in the Canaries, from various immigrants during or after that period of disputed ownership, just that (a) I've never seen, in the studies of the Canaries' gene pool that I have read, any reference to a significant Portuguese gwnetic contribution there, and (b) between that and the known history of settlement in the Canaries, it seems unlikely to me that much -- if any -- Portuguese ancestry in the Puerto Rican population arrived in Puerto Rico via the Canaries.
2. The period of the Iberian Union (1580-1640), the so-called "Babylonian captivity" of Portugal, when a Spaniard sat on the throne of Portugal and the two parallel empires were ruled by shared kings, is a completely distinct historical episode from the Portuguese claims on the Canaries in the 1400s.
And Occam's razor suggests that it is the Iberian Union that was most likely responsible for the Portuguese ancestry found in the Spanish colonies of the Caribbean (and other Spanish colonies). During this period, it is known, there was significant Portuguese migration to Spanish colonies in the Americas. For example, at one time a full one-tenth of the population of the Spanish colony of Santo Domingo (i.e., Hispaniola, the island next to Puerto Rico, now shared by the Dominican Republic and Haiti) was Portuguese. See
https://en.wikipedia.org/wiki/Juan_(Jan)_Rodriguez#Biography
3. As a little bit of a tangent, but leaping off from the topic of luso-descendants from the Spanish Caribbean, allow me to put in a quick plug urging all of us who are luso-descendants in the USA to do a better job of claiming as one of our own (even if we have to share him with several other heritages and communities) Juan Rodríguez a.k.a. Jan Rodrigues a.k.a. João Rodrigues, whose Wikipedia bio I linked to above for the assertion that 1/10 of the Dominican population of that time was Portuguese.
If you're not familiar with him, please check out the full bio at the link, but in a nutshell: He was born in Santo Domingo as the son of a Portuguese sailor and an African woman, and went on to play an important role in early New Netherland's relations with Native Americans and in the acquisition and settlement of Manhattan. He is claimed as the first European-descent resident of what became NYC, the first African-descent resident there, the first Latino there, and the first Dominican there...
He's all of that, but he's also the first luso-descendant there (and maybe anywhere in what ultimately became the thirteen original states of the USA). Such a fascinating and accomplished life, too.
David da Silva Cornell
Miami, FL
Researching the following surnames and places:
Faial - Furtado, Terra, Furtado da Terra (unknown freguesia(s), but signs point to Pedro Miguel)
Flores - Freitas, Lourenço, Coelho (unknown freguesia(s))
Pico - Silveira Cardoso, Macedo, Machado, Pereira Madruga, Ferreira,
Cardoso, Cardoso Machado, Vieira, Bettencourt, Dutra, Castanho, Homem,
Goulart, Quaresma, Moniz, Barreto, Silveira, Pereira, Álvares (all Lajes do
Pico)
S. Jorge - Silva, Botelho, Azevedo, Cardoso (Urzelina); Silva, Azevedo,
Cardoso (Santo António in Norte Grande)