While both of these statements are true I'm not sure they tell the story you're alluding to. Business travel has dropped off a cliff everywhere and will recover much more slowly than leisure travel, so comparing business travel in Asia to leisure travel in Europe will only mislead.
From a quick glance at
this data, people in Asia are travelling quite a lot on planes. There were 28m seats available on the w/c 19th October in APAC compared to 43m a year earlier, while there 11m seats available in Europe compared to 29m a year earlier. In other words the drop-off in European flights has been much more severe, even now. Or if you look at
this data, Asian travel has been steadily increasing to now be the top travellers. That's domestic and international overall, and it's just the case that a larger proportion of European flights have always been international, so it's difficult to do a side by side comparison regionally.
If you take Japan as an example, 140k seats were available for international flights vs 1.2m a year earlier, whereas for the UK 930k seats were available vs 3m a year earlier. So Japan's international demand fell to 12% of normal levels while the UK's fell to 32%. And generally speaking European borders have been open much longer and to a much wider range of countries than Asia's. But then if the notion is that movement of people across medium-long distances through airports and planes is a major source of transmission, then domestic flights are still a risk factor and Asia are doing a lot more of that at the moment. And if you assume that most people are moving from areas of higher community transmission to lower community transmission, or maintaining a similar level, then the end destination doesn't matter all that much.
What would make a difference is the kinds of holidays people take and the propensity to do things in large groups, and from the data I've seen whether it was Asian travel (which has a tradition of large group cultural tours) or European travel (which obviously leans more to large group partying), there was much more travelling among small groups than usual. At the end of the day, most transmission that we're able to track comes from within our own borders. It's only the countries that have managed to keep it under control exceptionally well within their own borders (e.g. Germany) that can point to a significant proportion being imported in.