Since Trump basically suspended the individual mandate via executive order, the IRS will stop rejecting tax returns (including 2016) without the insurance info. The line will still be on the form, but it won't be necessary to fill it out for the IRS to process the return.
So if you would like to reclaim some of your privacy, even if you are insured, you can leave it blank with your 2016 return. In fact I ask that you do leave it blank. It's none of their business, and frankly you don't have to tell them for the time being.
Enjoy it while it lasts. It will be back if the EGOP screws this up and the next Democrat president restores it. http://reason.com/blog/2017/02/14/irs-blow-to-obamacare-individual-mandate