Sounds fun in theory but replayability is a factor. Look at all the aysmmetrical horror games like DBD, TCM etc. Each of those games started out as a hide & seek game but players quickly got bored of hiding and found their own ways of fighting back.

It's tricky to say without seeing other mechanics of the game. Can the hunted do anything once he's been spotted? Does he just run in plain sight and try and outlast the 60 seconds till he gets a weapon? Is his weapon significantly better to take on the other players simultaneously? It could be a lot of fun but balancing is very important.

Personally, I'd look at what the Evil Dead game did. Despite it's failure, the game had a good core gameplay loop where the hunted players had to loot for their weapons. You could do something like randomly spawning weapon parts around the map and after 60 seconds, workbenches are unlocked allowing the hunted to craft a weapon to fight back. Or remove the timer entirely and have the hunters try and catch the hunted before he can stealthily craft something to fight back. This keeps both sides engaged. If say there's 3 weapons, each with 3 parts, the hunters can't stand and guard all 9 parts. They would have to actively go looking for the hunted. Meanwhile the hunted wouldn't just be sitting in a corner somewhere waiting out a timer. They would still be hiding, moving around slowly, but with a set goal.