I do not know your motor as well as I know my 1996 DT 140s, but I did look at the ignition system schematic for you, which you can see at Browns Point Marine Service.
You do have a stator under the flywheel and yes you have to pull it to get to it. It is not difficult if you have a flywheel puller. I just bought one at autozone and they are not expensive and some lend them out. If i saw things correctly, you have an ignition control unit and a CDI unit as well as a stator. I believe any of these can let you lose your spark. All these components are expensive so you will want to get a meter and test them instead of throwing parts at it. I bought a Suzuki service manual on CDROM on eBay for $5 and it is awesome. I recommend you do that as it tells you how to test these components. There are others on this site that know more about your motor than I do and hopefuly they will chime in.

Rick