After doing a bit of research into this, it seems what is happening is that in 2017 the Google Chrome browser will start to put up a warning page on any site with a non-existent or bad SSL certificate. There is also more weight given to sites who use SSL in the search engine ranking which has been a factor since around 2014. This is being done since anyone, even bad people, can get a website. It is a bit harder to get a SSL certificate as you have to give a bit more identifiable info to get one and they are not cheap. This is supposed to reduce the amount of "bad sites" infecting people. Now you will have a choice when browsing in the Google Chrome browser when you come to a site that has no SSL certificate to leave or go to it at your own risk. I am sure the other browsers will follow suit.
As for not indexing the site itself, I have not found any verifiable information on this but it does seem to be the case if you look at it logically. The search engine are working to show good, safe sites for their customers to go to. They have been at war with crap affiliate sites trying to game them for quite some time and this may be the final nail in the coffin. If they keep showing sites with a warning on all the page one sites it wouldn't be good for them or their business. They are just trying to get rid of the "crap" results and this is one good way to do it. For the people not serious enough or have ill intentions; they will usually not pay the money to get a SSL certificate or want to give the identifiable information to get one. The SSL certs cost between $100 - $800 per site.
So this will seem to mean going forward in 2017, if you don't want the warning page to come up when someone tries to go to your site - you will need an SSL certificate. How many people will actually go to a site they don't know from a warning page? Not many I assume, I usually don't. It also means a lot of hosted sites people have will not be seen in the SERPs unless they want to pony up the extra money. It also means business on the Internet just got more expensive to do.
It seems 2017 will be an interesting years to see how this all shakes out and the wide reaching ramifications. Looking at all the sites we as affiliates use, the major majority will get a warning page when going to them. Since we know(?) they are "safe" we will go to them, the question is will new people unfamiliar with the site click past the warning page? if not, this will be a huge detriment to getting affiliates, customers, and signups. We will have to see what happens in a few weeks...