I haven't abandoned this thread and will respond to others than have been kind to provide their input to date. I have refrained from responding to others as I have not had the opportunity to troubleshoot as I had hoped to. I will reply to others when I have gone through the other troubleshooting I had previously mentioned.
As to your specific question....
I personally can't speak as to the improvement from the older version as I have not heard the older version (3020). This video gives a brief overview on some of the differences that would be more informative. They indicate that it is significant.
LINK
What I can say is that in many respects I am delighted with the 3020i speakers. They are my first decent speakers and TBH I can't believe I've been missing out on so much all these years.
There are times when I'm in the 'sweet spot' where it honestly doesn't sound like there's anything coming directly from the speakers, rather it's coming from a wall of sound in front of me. Cowboy Junkies sound amazing.
The one 'negative' is that I find I do have to have the volume up a bit for them to 'really kick in'. I'm not sure what other speakers would do this better or to what extent, but it would nice if it could. They sound great when listening at decent volume but are not as impressive when listening to them at a 'background' level of music. Not to say that they sound bad at the lower volume, but there is a 'wow' factor that kicks in at the higher volume.
Oftentimes I work at my computer and have music in the background. In this scenerio I can't have the volume so loud as to distract from work and at this lower volume the magic doesn't quite kick in. However when I'm listening to music specifically, at a decent volume, they are great.
I am half playing around with the idea of looking for speaker that (a) would have the wow factor at lower volumes (if such a request if feasible) and (b) possibly with a lower frequency (rather than going with a separate sub which is something I've been mulling over). From what I've read, the 3020i speakers are considered excellent for their price range and as mentioned above, they have opened up a new world for me. It's just that after becoming aware of such a difference, it gets me to wondering how much more of an improvement I might get with upgrading to address 'issues' (a) & (b) above. I've been playing around with the idea of upgrading to the Monitor Audio Silver 100 bookshelves...
If you do get them, I would be curious as to how you find them in comparison to the 3020 speakers, since you would have had experience with both.
Sorry I can't be of much help

.