Apologies for the delayed response. We are sorry to hear about your experience with SVG file handling within Illustrator. Would you mind sharing version of Illustrator and OS? Are these SVG files saved on a network or local drive? Please try creating a new user account on the machine and see how Illustrator is working there with SVG files. You may take help from below articles:
The files are saved on the local disk. The illustrator is the most recent as updated from the CC app.
I have used this on another system, there also it was the same problem with the version. The file was originally created in version 15. There it didn't show any issues. But when working in this. It created a lot of problems.
Anyways, I have skipped to an open-source software which seems more robust and responsive. Plus it's Free. The issue of naming the SVG Layers which I was facing in Illustrator is also solved there and is much better.
I cannot make the work suffer due to a software issue, but thanks to this problem I found a better software for my requirement. You would need to create a lot of objects in Illustrator, make a lot of groups of them I have like 500 groups in my file. each group on an avg. contains about 7 objects. so I think you can tell your testing team for such a scenario and try to replicate the same.
And I am using the latest version of Windows 10 as when the issue was created and when writing this post.