Before I buy this specific product, I'd like to know if it can do what I want and, if not, is there a different product that can.  

For many years, I had a 'NetReset" device that disconnected AC power to my Router at the same time (very early morning) every day and then reconnected the AC power two minutes later; thereby causing the router to reset itself daily.   

Unfortunately, it's internal battery (2.4v NiMH) died and is not replaceable (soldered).  

The suggested fix is to just get a "smart plug" & program it to do the same thing.  However, I'm not sure whether that could work, as WiFi necessarily will be "Off" during this process.  

What I don't understand is whether the Smart Plug itself stores & runs the program autonomously or if the program is being sent to it from the App in "real time"?  If it's the latter, wouldn't the absence of a WiFi network prevent the Smart Plug from knowing "when" to restore power to the Router? 

Thanks for any information to help me understand this better.