I don't have experience of whales.
With wildlife generally, you have to think one step ahead of their behaviour - which means first knowing their behaviour so you can anticipate what they'll do next. You also need to be a proficient drone flier so that flying a drone is second nature. Everything happens quickly with wildlife (unless it's sleeping lions).
If you can't do the above, you'll unnecessarily disturb the wildlife. Even if you can anticipate and fly properly, you probably shouldn't do so in many instances because it will amount to harassment.
The drones that we are all using on this forum have a fixed lens and this is a wide one. (And, yes, some have digital zooms.) Most wildlife photographs and documentary films are shot with long telephoto lenses as standard. You're close "in" on the subject, plus you won't disturb the animal or animals because you and your equipment are a long or sensible distance away. You're simply not going to achieve anything like the same results with a drone. So you have to think "What am I trying to achieve? And at what price?" Just we've got a drone doesn't mean to say we should always use it.
I can assure you that drones stress all wildlife, even from a sensible distance. This is true also of the
Mini 2, despite its smaller size and quieter noise level. I'm definitely not saying "Never", but I would suggest you question what you're doing. The choice is then yours, legal regulations accepted. You're in an incredible part of the world, so you're hardly short of countless other options. And with a good pair of binoculars or a scope, or just with your eyes, you can still appreciate the grey whales - only more so.