I hear you, it's awful when you're stuck trying to figure out a sudden change like that. A couple questions, since I'm curious about what would cause such a drop for so many clients. If you haven't, you may need to break out a spreadsheet to track the changes and try to find the pattern.
1. I'm guessing you checking Moz and google search console for crawler errors? (First thing to rule out here)
2. Are you assuming that the issue is an algo update because you are having the issue for multiple clients? Or does the changes you've seen also line up with the dates of recent Google updates? Wondering since the last big update was a while ago in June now. You may be able to track down the date of the drops, which may give you more information about whether/what changed on that date.
3. Have you ruled out other reasons that these sites could have suddenly dropped in the rankings? This Moz post and this Content King post both have some tips for other issues that could have caused the drops.