In the past my HHonors profile showed LatinPass/Distancia and the miles were always credited to my LatinPass account without any problem .

Now, although I am using a different airline as my Preferred Account, I notice that where it had said LatinPass/Distancia in the past, it now shows GlobalPass/Distancia as my secondary account.

I would recommend registering it that way. I doubt that you'll have any problems.