@Diane Bland If you're essentially deciding, due to the shutdown, to work by helping people individually on behalf of the FHC while it's closed, that absolutely should count! Count each activity, and each person. That's been covered in either the monthly Zoom meetings or here on the Community Group, or probably both. We're doing exactly that in our stake while our FHC is closed. Plus we have limited staff to keep it open anyway due to medical conditions as well as age. Several of the staff have agreed to accept requests for up to a 1-hour family history consultation, whether for members of the Church or not. Members will email (using a special email address we've set up so as not to use the official internal email address for) the Family History Center, giving us the times they'd be most available, and what topic(s) they want to cover so we can try to match the best consultants with the requests. It's just getting started, so I can't report on successes, failures, or problems - if any - but it's at least a way to continue serving those interested in temple and family history work.
As for not turning in reports, yes that should absolutely be done! And you can always turn in the past year's reports now - there's no problem with that. It does two things - it lets Salt Lake know you're doing something as a FHC even if they can't see any activity on the computers (other than hopefully your bi-weekly computer updates). And it also lets your stake leadership (who get a copy of the monthly report) know you still exist and are involved helping people. You can use the narrative sections to explain why the numbers are so weird at the top, and also explain what you're really doing to help people - the whole purpose of your existence.
I'd also be concerned about justifying the maximum number of computers you need the next time you come up for replacement. If it doesn't look like you're doing anything, you won't get the same number of computers that "age out" and need replacement.
this is working on our own internets and zoom to help people.
I've worked in rural and remote centers which didn't turn in reports for years. Things may have changed since my wife and I served our last full-time mission but when she was assisting the the staff employee in charge of all North American centers, he told her that equipment usage (i.e. computers, etc.) and replacement is based on usage. I'm sure you already knew that reports play a part in that. We learned that one center we went to after our mission had not had their computers replaced in many years. I think more factors are involved than just reports but I know they can influence the number of computers authorized to a given center.