I think now, and in the next few months, it's not going to be a 'seem to spend a lot of time apart', they are. He's working on Mute, will probably have a short break before Aftermath, and then probably back to the States (or N America) for both Kill Team and Fever Heart. And she's been busy as well, and will be working on her own clothing line. So I really don't think they've been together since four weeks ago. She could have flown in for a day or two and been under the radar, but even so, it's just a few days together in the last couple of months. But since they know their schedules are going to keep them apart more than together for the foreseeable future, they'll figure out what's best for them.
We do speculate, and I think we try to do so within the realm of reason, and not stalking them. Apparently there are Taylor Swift fans who track her private plane, Alex has had some creepy invasions of his privacy, and I'm sure Alexa has had them well.
So here we'll try and speculate within what we know, not invade, and try and fill in the blanks, with the occasional difference of opinion.
Speculating about their relationship is natural. And I'll repeat what I've mentioned before, this relationship has been pretty boring gossip wise, especially compared to his previous serious relationship. So if they broke up, and got back together, they've done it in a rather low key manner, without much notice from the gossips.