Not at all. Do not listen to newb geeks who try to tell you that the sky is falling when *support* for an OS ends. These are the people who don't know much at all about security and so they just cross their fingers and hope MS and timely updates will save them, without any real security or backup plan.
Instead, if they were true professionals, they would tell you to
look at the exploit list and see whether any of those affect your use. Facts instead of hand waving, or overgeneralizing hearsay. The truth is, for home users, there are very few things (if any) that weren't already patched during the regular support cycle for an OS so that by the time the support ends, you aren't vulnerable except to user mistakes, for example opening some nefarious email attachment, or some rogue website pops up a message that you're infected and you fall for that and do as it instructs and end up installing malware even though your OS tries to stop you by asking but you allow it (!) because of that social engineering aspect of tricking people.
What is the greatest risk to a home user behind a router? It is not the OS version. It is the entry points, the browser, or opening email attachments.
Many times I have issued a challenge to people who pretend they know we all need to update to the latest OS. Provide me with a situation, that is plausible in my home use, that puts me at risk. They never can. Instead, it's about how modern/current a browser you can run on the OS of choice. Malware has to have a way in, and your browser is the primary (if not exclusive) way that happens unless you are running dodgy things from warez/pirate sites, or CDs included with some generic Chinese product from a non-reputable source.
The better reason to update the OS is because you want new hardware with driver(s) that does not support the OS you already have, or there is a specific feature of the newer OS that is of benefit to you. That is not uncommon, that you know of a feature that would be of benefit, but it's not so much a case of needing to update OS because of end of support. That is a huge mythical lie.
*
I've worked in IT over 25 years. The last time I was exploited was accessing ebooks off a Russian FTP server ~20 years ago, using Internet Explorer 6. I booted a Powerquest Driveimage 6 floppy to restore a partition backup which nuked it from orbit.* I did get a lot of ebooks, would call it a win.
Just sayin', there is reasonable caution and then there is getting to the point of uninformed paranoid, like wearing a tin foil hat, never driving a motor vehicle, never riding in a plane, never eating food (who knows what happend to it??) living in a bubble, never crossing a black cat's path, or being too far away from a lightning pole, etc.
Most of my several systems online, run Win7. They have never been exploited. When I replace them, they will get a newer OS because of the required drivers, and the eventual browser support ending. It is a moving target but not so much based on MS' support cycle as the 3rd party support cycles.
[/rant]
