In other words will the problem be solved if I remove all downloads?
No. That's a different list.
Well, aMule is not crashing for all people all of the time. It's well possible that the problem is somehow related to the files you are downloading (or rather to the clients that are uploading it to you). So if you'd cancel all your downloads and start downloading something completely different it might well go away. Or not. Hard to tell without insight to the reason.
You can reproduce it well? How many downloads do you have? Can you maybe track it down to a single one of them? Stopping the others should do the trick (no need to cancel). If you can do that pm me the link, maybe I can reproduce it then.
We actually nailed hopeless seeming problems in the past. The last one took almost a year though.

Otherwise I could start sending you weird patches that try things to get closer to the problem.
Edit: I'd like to base them on the SVN version however. Um - have you tried if the SVN version also crashes?