I think you have made some very good points grandma.
I think that brand identity was lost somewhere between C= dieing and Amino buying Amiga. The thing is that the italic logo (and also to a lesser extent the tick) were the amiga's identity. Companies spend millions when they change brand identity, partially because they need to inform the public of the change. With Amiga this was never done. Also the changes were never solidified properly, and inconsistancy has crept in. It also didn't help that there were numerous different designers all giving the brand ID erm different IDs.
There is also the issue that individual product lines and the company itself have no distiguishing identies, its a blur of typefaces and boingballs.
Last year I posted on here a set of ideas for unifying the identity of the brand, whilst distinguising company and products. see
http://deadlock.netdork.net/Amiga2002/Looking back, it's a bit messed up, but hopefully you can see what I was trying to achieve and where I was heading design wise particularly with the boxes and the website.