Rep would be nice as it is part of the original PnP. It would also help keep some of the predators (gangers, hostile edgerunners, corporates,.. ) off your back.
If you are recognized. I think it rep would be ok but only if it would be invisible for a player. Also it should be different in different circles - like if u are contract assasin then the rep would be only among other assasins and the clients. For sure not some mobs on the streets. If u are rockstar everyone may know u witch may even encorage ppl to attack or kidnap u. And u should only see your reps through NPC reactions and comments, news articles etc.
I dont want the game to be simplified or to have my choices to be based on some points that I can get or loose.