What is usual behaviour for the l322 td6 gearbox?

So I’m 2 months into Range Rover ownership and I’m just wondering what normal behaviour for the GM gearbox is?
The gearbox was rebuilt a few years back i don’t know at what mileage.
No history after that of a gearbox oil change so I did that when I got it and the oil was perfect. Still red and no metallic particles in it.
However for me it just seems very slippy less so when warm.
The slightest touch of the accelerator unless going down hill causes the car to Rev over 2000 rpm sometimes hanging on to 3000 rpm. When it changes gear both up and down it’s very smooth. It seems to get up to speed pretty quick for the weight and power. Also when it feels like it slipping if I ease off the accelerator it will change gear. It’s quite happy maintaining speed at say 45mph at 1300rpm and even going up slight inclines like that but as soon as the throttle is pressed if gently it will change down and slip over 2000rpm
Now I’m not sure if this is because I’m use to a zf6 speed transmission which locks up very quickly and low down in the Rev range.

Similar behaviour to mine but that doesn't mean it's right

i believe the torque converter has 2 stages giving the effect of 10 gears

The "slipping clutch" feeling is the TC sitting against its stall speed. However the stall speed varies a bit depending on torque input and thus throttle position. Higher torque, means a higher stall speed, simply due to the fluid mechanics inside the converter. The throttle position also determines whether the trans holds onto the gear your in, and thus lets the engine rev up beyond the stall, or upshifts.

If your below the stall speed, and apply some throttle, the engine will tend to rev up to the stall speed and sit there. This effect boosts torque output, as a) the engines spinning faster and thus able to produce more torque anyway, and b) the slip in the converter gets used to amplify the torque further. Once speed in gear matches the stall speed, the engine revs will start to rise like a manual box. At light throttle, the box will shift before or just as that happens i suspect, and thus you'll find the revs just sort of sit around while it accellerates thru the gears.

Thanks for the responses it’s reassuring to know the gearbox seems to be performing normally.