I have nothing on social media for which to be ashamed, and it is a great part of my outreach for business -- therefore if the demand was made I would take it as a sign that the relationship was turning unhealthy. I would attempt to reason and determine what was the cause of the insecurity on my significant other's part and see if we could address it directly, but -- especially now when so many avenues of networking and direct selling are cut off -- if we could not reach an understanding I would take it that he wanted to be a bit too controlling, take that as a red flag, and depart!