No. That is not the case at all. More is not better just because and having a caster split just because isn't better either. Caster is related to the suspension geometry so "high" is relative to each individual vehicle. 4.5* is high for these trucks, especially when the spec is around 3*. I've driven and aligned hundreds of these trucks and 4.5* will drive like crap. So unless your lift kit says you need to set the caster at 4.5* because they've changed the angles and such, you need to set it at the factory spec.
Do some research on caster because more in this case and in any case will certainly make it more stable. This is true with cars, motorcycles and even shopping carts. More caster makes anything want to go straight with more stability. You said it would be less stable and that is not the case at all geometry and physics does not support that statement at all.. 4.5 is driving just fine right now.. On the road and off road at high speeds so don't tell me it will drive like crap I already know what it drives like..
Also do you know the stock specs and tolerance?
So far as right and left not being the same look at the post below this guy (you) said the caster should be... You also stated 4.5 +/- 1 Now in modern or old math that means it could be as high as 5.5 and still be in specs... Also if you actually read my post you would see I stated " The company who made the lift RECOMMENDS 4.5
Actually it looks like wheel size didn't matter on a Tahoe, only Avalanche. Here are the specs for your K1500 2003 Tahoe (4x4):
Caster:
L: 3.50° ± 1.00°
R: 4.50° ± 1.00°
Cross Caster (L-R): -1.00° ± 0.50°
Camber: +0.25° ± 0.50°
Cross Camber (L-R): 0.00° ± 0.50°
Total Toe: +0.10° ± 0.20°
Steering Wheel Angle: -1.0° ± 3.5°
Plus since you wanted to post resumes here is my short list. I am a mechanical engineer, I was a designer for motorcycles, I also did the chassis set ups for the National factory Suzuki race teams as well as thousands of others in our chassis shop. I specialized in automotive alignment as far back 1976 and I certainly know what caster, camber, toe and thrust angles are and what they do.
So thank you for your comments but I really don't need them anymore.