German vehicle colour schemes are more varied than Allied ones. This applies to all vehicles, tanks, tank destroyers, half tracks, even trucks etc.
At the start of the war the standard vehicle colour scheme was a fairly boring panzer grey all over and this was retained until 1943, except in North Africa.
Experience in Russia showed the grey didn't blend well against the steppes and crews often resorted to coating their vehicles in mud. So the standard vehicle base colour was changed to dark yellow. Green and/or red brown paint could be applied above this at a depot or unit level as needed and these units had their own varied styles of camo scheme and tactical numbers. On the Eastern front schemes tended towards more red brown and on the Western front more green.
In late 1944 the factories were ordered to camouflage vehicles from new with all three colours to hide them from air attack during transport to the front. Factories each had their own camouflage styles which varied over time. To start with many were painted in one of a number of "Ambush" schemes with thousands of small dots or discs overlaying the base camo but this was soon dropped as it took too long to do. The Jagdpanther and Hetzer had both depot and factory schemes but the Jagdpanzer IV L/70 would have been mostly factory as it arrived late in 44.
In 1945 the official base colour was changed to green as there was a shortage of dark yellow paint but by this time it was often a question of using whatever the factory could get hold of.
Then there are winter whitewash schemes, which washed off when it rained in spring.
From 1943 until late 44 many German tanks were coated an anti magnetic mine paste called zimmerit and each factory had its own way of applying this. For example there are 4 or 5 different styles of zimmerit on Panthers.
The problems with tank destroyers is its often hard to make out the camo scheme from b&w photos and there is often no unit info given with the photo.