Alright alright, so... I absolutely love the idea of time travel in order to save someone or something. It's been done quite a bit now, and I'm starting to see time travel type plots pop up a lot more frequently nowadays, but I still like seeing how people manage to make things play out. Hell, even my personal project features a plot revolved around a concept similar to time travel.
The thing that makes a time travel plot work very interestingly is the cause and effect that happens when someone nudges the wheels of time. In the DC Animated film Flashpoint Paradox, the Flash runs back in time in order to save his mom from getting killed. It was a small change in history, but that effect caused a rippled in time and space, which in turn caused tidal waves of change throughout the present. Major events still happened, but in slightly different ways. Without getting too much in spoilers, Superman arrived on Earth, but not in Smallville, Bruce Wayne's parents didn't get killed, and Hal Jordon didn't exactly become a Green Lantern.
In the visual novel series and anime adapted series of Stein's; Gate, the main characters accidentally create a time machine and begin toying with it. As the past changes and present is thrown off rails and endangers the main characters, and the plot is an attempt to revitalize the original present. More recently, we have examples with Life is Strange, some newer anime adaptions from Erased and Re: Zero which all features time travel in attempts save people.
In my personal project, The Void is a place where memories and psychic imprint exist in a proto-reality parallel to the world and the present, but it also links the multiverse together. The Void also links memories of the future and past together and forms worlds and creatures based off of raw memories and emotion. (Demons and angels form based off of negative or more positive emotional memories) When characters face something devastating, they do die. However characters that die in world 1 are not the characters that died in world 2. Ever get that feeling of deja vu? Well, they remember bad events occurring for some reason, which is devastating or even good events that occurred in the other worlds. So I plan on trying to create a scene where the party is faced with a devastating foe, and they have to remember how the fight goes. I've taken a lot of inspiration from Steins; Gate and Dark Souls actually.
Time travel to solve issues, it's been done, but how you manage to play it out is what will define it as good or bad.
Like, I am running with some concepts for your plot so let me just shoot out some ideas. Why does the villain kidnap the heroes? Is it to stop them? Does he need to use their power? Is he asking for assistance? Why do people perceive him as a villain? Is it because he kidnaps mages or magically gifted people in order to research the time spectrum or is he sacrificing them for power in order to make a time gate?
Personally, I think that makes for a cool plot right there. Let's explore further, the first half of the game you are chasing after this villain and attempt to save these sages from being killed or kidnapped, or whatever. In the end you are kidnapped and you find out why the villain is doing everything. So what if he asks the hero to help him save his wife. Then the second half of the game starts, where the heroes are forced to assist the villain by traveling back in time and nudging events in such a way to prevent his wife from meeting her end. Maybe there are three or more endings that can happen in this plot.
Maybe in the end, you either devastate the villain's plans to change the past completely and destroy any way of him saving his wife in order to preserve the present.
Maybe you can save the wife, but in the end you sacrifice the villain in order to fix the hole in space in time.
Maybe you let the villain save his wife, but at the cost of what was the present. Or in the victory where damages the heroes and the villain caused can not be reversed.
Or maybe there is a feels good ending, where you find a loophole where everything can be saved.
A good friend of mine usually says this, "Yo! You do you man. I'm not you. Do what you want."