I've purchased three new pipes in the last 10 years or so and never considered weight. I've not felt the need to weigh my 24 smokers. All are fairly large to very large bowls and bent to some degree. I keep my pipe resting between my molars with little to no pressure from the jaw. My heaviest, noticeably heavier, pipe is also my smallest, a Pete with silver mountings and wind cap.
The only distinction I make when selecting one to smoke is that the meers are smoked inside and the briars outside. I've never noticed any particular distinction between heavier and lighter.
Now, I have to get the cooking scale out and start making note as to weight, mouth fatigue and smoking enjoyment. I hate it when I have to think about smoking as I smoke!