It depends where you are talking about. Banff south has problems.........people problems. I lived up in the northern part for 10 years and there were lots of grizzlies in the Wilmore, Grande Prairie and north country.
The seasons are set for a minimal kill at the best of times.
When you leave the mountains and get into the taiga/boreal forest type areas, they are very difficult to hunt. No open slopes or slides to glass. You have to hope to spot one on an oil or gas pipeline. Also, 1000 grizzlies might not sound like a lot, but remember that most of Alberta, probably two thirds, is non-grizzly country where grizzly bears haven't existed for probably a century and never will again.
The current grizzly population is along the Rockies and up through the Peace Region. There is also a population in the Swan Hills. If you look at a map of Alberta, you will see that leaves vast areas that really don't fit into the picture as they are not grizzly territory.
I can see them stopping the hunt in the southern most areas around Banff, as public pressure will eventually force it. But further north really shouldn't be a problem for a minimal sustained harvest. Unfortunately I think that public sentiment is slowly going to force the issue. It will happen in BC to....just give it time. You already have outfitters, like Leonard Ellis from the Bella Coola area, selling their guiding territories to 'green' groups that will stop grizzly hunting.
It's just the tip of the iceberg. The anti-hunting......well especially the save the grizzlies and the wolves types......are a large segment of the Vancouver population. It is also getting that way in Calgary and more recently Edmonton is showing the same signs.