I see no serious crawl issues. Mostly things we're already addressing, like duplicate content caused by blog tags and categories, missing meta descriptions (mostly in our knowledge base, so not an issue) and stuff like that.
When I checked the home page alone it said zero high, medium or low priority issues.
The page only de-indexed very recently. Maybe the next crawl will catch something. Same with GSC...it looks like the last 2 days of info is not available yet.
I should mention the home page Optimizely test had been running for at least a week before the page got dropped (will get actual date from client) , plus they have had a product page running a test for weeks with no problem. But I still think your suggestion to pause the test is a good one as I don't want anything to hinder the process of fixing this.
Update: Optimizely has been paused, code removed, home page submitted in GSC.