Travelling with insurance makes the whole trip a whole lot less worrysome. Its just the same as with getting vaccinations, if you prepare everything with care, you don’t have to worry about it while travelling. The whole feeling of travelling uninsured would freak me out and certainly this would also influence my experience for the worse.
The best is that you can find travel insurance for pretty cheap (at least over here in germany). In my case, I found an offer by HanseMerkur, which includes about everything you need (including a medically necessary transport back home) for as little as €1,15/day. I was able to book this online in less than 5 minutes, and its done.
Payment is monthly, and the contract ends when you finish your trip. You simply have to proof that you are back home and they will stop charging you. Its a no-brainer really and its as cheap as you can get.