I had to laugh when I saw this post. Just seems kinda silly to me.
As for me, when I met Alex online 7 years ago, we didn't even speak on the phone until a year after we met online. We spoke briefly, he said he liked my accent and I said I liked his. But.. that just so doesn't have anything to do with why we're together, lol. Nor the cultural thing either, it is interesting to see differences from where we come from but nothing more, nothing less.
I'm used to his accent now, it's just how he speaks. However when someone (for example) talks in my family over Skype or something, he's like "Wow! They sound really American!" whereas he is used to my American accent now, and I'm the same when I hear someone in his family talk, cept ya know "Wow they sound really English!" lol. We're both just used to the other's accent. However, I do have to say when we are old and grey and finally living in the same freaking country, we'd still probably make fun of how the other says certain words. (And I make fun of his lack of grammar sometimes, haha) Now THAT is something that is pretty cute and fun about being in a relationship with someone that is not from the same country.
But all in all, it's his personality, charm, humor and dashing good looks (Oh yeah, he's adorable, makes me giggle like a school girl) I fell for. The English accent is simply a nice little bonus on top of all his other qualities. If he was the same nationality as me, I'd still love him all the same. AND it might be kinda nice, seeing as we wouldn't be paying out the @SS just to be together, lol.