We have deployed 4 7341s for 1500 to 2000 people and it works fine, so 7982s should work more than fine.
It's either a FW bug, wrong settings on the APs or something else.
Are you setting channels manualy, or automatically? Are you using ChannelFly or Background scanning? Are all clients having problems or just some? If some, which clients (ipads, androids, nokias, 11bg clients, ...)?
More info = faster solution
But start with disabling 11b and probably 11g too.
Here's some reference