I know a lot of it was sent to the front lines in order to increase the alertness/energy-level/ability of the soldiers, but what happened once those soldiers came home? Somewhat-related, I know that the methamphetamine that was synthesized in the 1990s in the US after the government started to crack down on the precursors to methamphetamine was called "Nazi-style." Was there a particular way that the drug was manufactured there? Or is this term just used because methamphetamine was fairly ubiquitous during the Third Reich?
I have written about the Pervitin-use in the Wehrmacht before here and here and the sources respectively the research on Pervitin effects after the war are incredibly thin. Jonathan Lewy in one of the cited articles mentions that the number of registered drug addicts were rather low after the war and like before the war were comprised mainly of physicians but he also points out the numerous problems with such statistics back then.
Maik Baumgärtner et. al. in a German publication on the history of Crystal Meth in 2013 mention that there was a high number of addicts after the war but decline to footnote this information with further sources. Similarly, Norman Ohler, author of the most recent book on the subject – that is imo academically not really worth it since it prefers monocausal explanations and is banking on selling old info as "new and amazing finds" – also claims that there was a huge number of addicts in post-WWII Germany.
G. Bonhoff and H. Lewrenz, two medical doctors and researchers, in a recent German publication on Pervitin however write that there were indeed fewer addicts than assumed because – and their research centers on addiction – patterns of addiction changed in the post-war republic, namely in the factor of the social aspect of Pervitin addiction that combined with the relatively light doses handed out during the war lead many people to abandon their habit without grave or even severe problems since many post-war reports speak of withdrawals with relatively few and light side effects.
As of now, there is no way to sweepingly answer this question, simply because there hasn't been done much research on how it affected post-war society and it'll most likely take some more years, among other factors because of privacy concern and access to relevant files. As for now, we have some publications speculating on a high number of addicts without giving further reference for where this information came from and two MDs who deal with it in what essentially amounts to a side clause in a larger text about withdrawal.
The reason we can track Pervitin so well throughout the war is because it was given out to soldiers and others as part of official policy and thus leaves a trail in files that are not patient files. Once the war is over, that stops and thus the amount of available information decreases drastically. Hence, little research on the subject and few ways to answer your question.