I would add weighted chin-ups to any beginner routine that doesn't have them, because I personally like to balance not only the push/pull muscles, but also in the horizontal and vertical planes.
You didn't ask, but my current routine consists of these core/compound lifts:
* Bench Press (horizontal push)
* Barbell Row (horizontal pull)
* Squat (leg-driven push)
* Overhead Press (vertical push)
* Weighted Chin-Ups (vertical pull)
* Deadlift (leg-driven pull)
Any lifts besides these are considered accessory and are only programmed in based on specific needs, e.g. weaknesses/imbalances/posture issues/aesthetic goals. If I can't tie an accessory back to a specific need, then it's just considered fuckarounditis and I eliminate it.
I rotate my rep scheme so I'm not always doing high weight / low rep, but sometimes low weight / high reps or medium weight / medium reps. I do this mostly to not get bored, but also because always doing high weight / low rep can get stressful. I'm probably sacrificing strength gains by slowing my progression down, but I'm okay with it.
Disclaimer: everyone's goals are different. I'm pushing 40 and my goals are to maintain a modest level of strength and overall fit appearance (only working out 3 days a week for < 90 minutes per session) and this is what works for me.
If one's goal is to be a powerlifter, fitness model, bodybuilder, etc. you most likely have to work harder and take your programming even further than I've taken mine.