But most of the other brands have competing trademark ownership (e.g., Bolivar, Hoyo de Monterrey, Partagas, among others). Most of these brands existed prior to the revolution and nationalization. In many cases, the US companies were started by the same families who owned the brands in Cuba and left after Castro took over. I don't think any anti-Cuba bias will be necessary for US courts to find in the current US holders' favor. And that would block a lot of existing Cuban brand names in the USA.
Nationalisation and ownership by a Government will rightly or wrongly take precedence I think. Not that it matters, with the knowledge that the real McCoy can be available the ersatz versions will wither on the vine. They've had a good run, time it was over.