You can use phase cancellation to your benefit as well. But, as with anything, your ears are the final judge.
Phase cancellation happens all the time. It's an important part of the reality we perceive. As you sit in front of your computer, typing, the sound of the keyboard isn't a pure and direct sound. There is reverb, separation, distance, intensity, not to mention - other sounds that cause cancellation. However, it's being true to reality so you can't hear the cancellation. It sounds normal.
The idea behind using phase cancellation to your advantage is to keep the cancellation subtle. If there is a mic placed on a source, know that another mic 10' behind it will sound like reverb. And yes, there will be some amount of cancellation. Keep the relationship of volume close to what's natural (how much reverb comes from a wall?) and the cancellation will sound natural. Does music sound good standing next to a wall? Normally, no. So, keep your more distant mics lower in volume. Again, there will be some cancellation, but that's OK. It's part of what reality is about.
Phasing is only an issue when you change the relationship between sources using time. This can be the time it takes sound to travel or an electronically delayed signal. You don't necessarily have to "fix" the phase with every change, but with every change - know that you're effectively changing the acoustics of the room (or mic). If you want a tight sounding room, keep everything as close to in phase as you can, you want more distance you can be sloppier with the phase... but again, mics providing a reverb type ambiance should be lower in volume in the mix than the closer mics.
Just keep the relationship natural - and it will sound fine. Change that relationship and you WILL have to fix it (somehow). I'm not saying that you can't augment reality... just that the end product should represent some sort of natural reality.