One of the frustrating things about specialisations is that you cannot get a look at how the effects work. Specialiations.csv is just a control mechanism; the effect itself is buried someplace in one of those resources files, I guess.
These are the texts:
spec_tank_school_title = Tank School
spec_tank_school_descr = Extensive training programs for tank crews and commanders allow them to become more proficient at gunnery, communications, maneuvers, and tactical decision making.
spec_tank_school_effect = • Newly purchased tanks start with 1 experience star
spec_panzer_fibel_title = Panzerfibel
spec_panzer_fibel_descr = The new tank training manuals are designed to catch the attention of the young men, using humorous and risque cartoon illustrations along with slang the combat troops would identify with.
spec_panzer_fibel_effect = • Newly purchased tanks start with 2 experience stars|• Disables the Tank School specialisation effect
spec_panzer_lehr_title = Panzer Lehr
spec_panzer_lehr_descr = Concentrating various elite demonstration and training units will provide a new panzer division composed of the cream of Germany's armoured forces.
spec_panzer_lehr_effect = • Grants a Panther G tank with 4 experience stars|• Disables the Tank School specialisation effect
and this is the pertinent section of specialisations.csv:

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Based on your rep, Cool, i.e., you know what you are talking about, I will post this to the bug database but perhaps if you still have the game saved at some point, or you wish to test it with a restart, if you could post some follow-up demonstrations and screen prints, that would be helpful. I will link the database issue to this thread.
EDIT: Actually, I think you can hold off on that follow-up. My instinct says the effect is correct, given the progression shown above, and just the text needs to be corrected. I told them so in the bug database; they'll take a look at it and decide.
EDIT 2: Here's another thought, though. Why should Panzer Lehr cancel
either Panzerfibel or Tank School? All Panzer Lehr does, as far as I can tell, is award one experienced unit. I asked them that question as well. Let's see what they say and do. Thanks.