well, you have a point, and as with most things, there is more then one possible reason for it.
A increase in temperature may also affect the viscosity of your damper oil, and with that depending on your valve design your damping forces.
If you like to see the "drift" in the football graph, due to an increase in gaspressure/shaft extention force, while trying to keep the other parameters in check (as constant as possible) you may consider the following.
choose a relativ slow speed (~ 50-100mm/s) and a dampersetting which is not extreme
stiff. By doing so, you will be able to scale the graph in a way that it shows even
slight variations more clearly, and the damper/oil does not warm up to much, therefore the viscosity effect of the oil will ne small, and you can rune the damper
longer without worrying too much that it gets too hot.
now while cycling the damper on the dyno and looking at the live data, warm up the
canister/reservoir of the damper with an electrical heat gun.
By doing so, you should be able to see the effect of rising pressure.
Alternatively, and maybe even more simple.
Pressuerize the damper the damper to ~200 psi and run it, as above.
Now, while looking at the live data start to bleed off some pressure. You should see, that your graph is drifting towards the rebound side, and that at the end it will not be centered around the "0" force line.
It will/should be centered around a -xx N/kgf value.
It´s not to prove anything, and is maybe more academical, but it will help you to
see how your dyno measures things, and what he can or can´t compensate for.
I´m not familar with your type of dyno/software used, so it´s difficult to make
recomendations or statements in this respect.
You will need to see in the manual, as if and how your dyno measures and accounts
for gas force (what the software calls preload) and seal drag/friction.
Same dyno´s measure the value and take the preload(offset) out of the data, and in others you need to provide an value for shaft diameter and gas pressure.
Some people zero the loadcell when the damper is mounted and preloaded in the dyno, others don´t, depending of what your dyno does before he starts to measure.
in some dyno´s you can deactivate the check gaspressure/seal drag/friction feature
befoe each run, to save some time when you just do an adjuster sweep or something like this.
Best is to play a little bit around with it, and then I´m sure you will see, how things show up in the graphs.
The offset Dave mentioned, can have many/other reasons, just wanted to hint onto one possibility, not claiming, that this is surely the reason for the offset.