I'm pretty sure that applies to men dating women only due to the fact that most women prefer to date older men and guys tend to like younger women. Not saying that this can't apply to same sex couples, but it's kind of built on the above principle so I'd have to say it really doesn't.
To the OP I was in a similar situation with my girlfriend saying it first. I was honest about it and said I didn't feel that way yet. It did get me thinking about it alot though, and when the time was right I said it too. I think people who say it just to not feel awkward and don't really mean it do a huge disservice to the one they are with. 2 months seems like a long time to me, and unless it's been pretty much stated it's a casual relationship with no expectations then I think I would expect it to happen by then otherwise someone probably will end up getting hurt, but better now than later, the longer you wait before disclosing the truth the more pain there will be.
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