The most recent decision relevant to this topic was https://en.wikipedia.org/wiki/Maslenjak_v._United_States in 2017. It was a 9-0 decision that a naturalized citizen who had made minor errors of fact in their citizenship declaration couldn't have their citizenship stripped because of that.
Between stare decisis and how solidly the court has been in protecting citizenship, this principle is not in any sort of trouble any time soon.
[1] https://www.vox.com/2018/8/30/17800410/trump-passport-birth-...
The law itself is solid. Whether a particular person with paperwork issues will be given the presumption of the facts being in their favor is another story.
The end result is people can and do lose their citizenship status pretty often. Debating whether it is strictly unlawful is really besides the point.
I firmly believe that the current administration would love to change the rules on citizenship. However the 14th amendment is extremely clear on this, and the courts have consistently ruled for decades that Congress and the President do not have the right to change the laws to strip citizenship from people. (This was extensively litigated over laws against dual citizenship.)
Therefore it is no more reasonable to fear the current administration making citizenship revocable than to fear the previous administration taking all the guns away.