Firefox Flash Plugin Not Detected

I am using Firefox 3.6.3 and the Adobe Flash Player plugin 10.0.45.2. The Flash Player checkbox does not appear in the Internet section of CCleaner with this configuration.

However, when I install the IE 8 Active-X version of Flash, the checkbox appears and the settings (.sol files) are cleaned correctly. This would be okay, since both Flash players store their settings in the same place, except I don't want the IE flash player installed.

Do I just have to live with this, or can you fix CCleaner so that it successfully detects the Firefox Flash plugin? Is there some easy way to "fool" CCleaner into thinking the Flash Active-X control is installed?

Many thanks.