In season 4, when Alice asked Asuna "Just how long were you and he together?" Asuna replied "I was his partner for two years. Then we dated for probably a year and a half."
If they were still dating, wouldn't she reply something like "We were partners for two years, and for 2 weeks we lived together, and Kirito and I are still together."
I know that they love each a lot. It's just the way she replied, that made me think that they aren't together anymore. I would understand if maybe, they are taking a break from each other because both sides' life is a bit hectic and they need to sort things out before being together again.
Did Asuna and Kirito take a break from each other?