I posted a simular thread on the Daystate owners site a while back, I have been shooting air guns for 50 years and have never used a pull thru on any of them.
On my fire arms and shotguns yes but never on a air gun, Because of the cordite etc that can not be left in the barrel.

Barrels are simular to cylinder bores in car engines they have to be run in and once you have found a pellet brand that works stick with it .
Barrels are formed in different ways, Hammer forged, Button drawn or die cut and none of them leave a really smooth finish under the m/scope more like the Alps in fact.

I found the much praised JSB pellets are made from a very soft materel and would take a fair thru to run a barrel in.
Where as Crossmans alot harder and run in very quickly.