Awful heavy though. My friend let me play his squier jazz and it weighed a ton! Mind you, I'm sure both the rick and sting are pretty heavy too. My Yamaha is so light cause its head stock is really small. That and there's not much on it. Just the two pickups, two knobs and input jack. I can play for hours with it.
I remember my Rickenbacker was pretty heavy compared to my Aria Pro that I had at the same time, but it's been 15+ years ago since I sold my Ric so I guess that's just anecdotal.
I will say, as cool as I thought my Ric looked and sounded, I secretly really preferred playing my Aria, and would always bring it to gigs to switch off from my Ric when I wanted something more comfy.

Although the machine heads are terrible- goes out of tune with the slightest touch. Should get them replaced too... :S
I tune my Precision at least once a year, whether it needs it or not.
Seriously though, unless I bump a tuner or play outside or there's some dramatic change in temperature, that bass just plain stays in tune.
With that said, I perfectly understand you wanting to upgrade if your bass is not staying in tune. Being able to reasonably stay in tune should just be expected from any bass.