I've always left my wired router on and have done the same with my wireless router, at least for the past 10 years, (except for model changes).
Just make sure you have a good password and keep an eye on the usage, there could be somebody next door piggybacking on your service, but they'll need to hack your password to do it.
I don't work for Stockcharts, I'm just another user always trying to learn more and willing to share what I've already learned. Stockcharts.com Support Forum
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