The displacement is different but on a turbo engine the only effect is the needed boost for the same power and the spooling of the turbo.
When a Turbo can handle 400hp, it's no difference when you have 1.4 or 2.0l.
Only the torque curve is different - of course. More displacement, more torque. Killer applications like a 1.9l 8V SOHC with GT25R or GT28R don't have more power, but much more torque.
The valves have effect on the surge line (more circulation loss) and the boost you need for the power.
In the opel scene the normal "street" use turbo is a GT3076R. Since some month the GTX3076R is the most used turbo.
Sure, some guys install a GT28xxR, but most guys have 500-600hp (bolt-on Kits, I made intake and exhaust manifold for these kits).
About the GT2876R, the bigger compressor wheel causes bigger lag. At higher revs you have the problem that the turbine wheel is too small compared to the compressor wheel (it's like a ratio). The exhaust pressure raises and the burned gas can't leave the cylinder.
GT2871R didn't have these problems!
An external wastegate can lower the high rev problem with the GT2876R but only compared with an internal GT2871R.
The Flowmap shows only a difference of 5HP - that is the 3rd point against the GT2876R.
When you are happy with the GT2876R, good. I wouldn't be happy. You can drive what you want.
More I don't write about this turbo.