According to this article summing up the laws of Tevilat Kelim:
There is no halachic basis for the common misconception that non-disposable utensils may be used once without immersion.
The footnote says this comes from Tevilat Keilim by Rabbi Tzvi Cohen, pg 101. I don't have access to the sefer, so I don't know if he brings a reason for the common misconception.
My understanding for how the misconception started is the same as Chalutzhanal's in the comment to the question.
The question could be asked, if glass and metal require immersion, how are we able to drink out metal soda cans or glass soda bottles (etc)? Shouldn't they require immersion? The halacha is that they do not. The common misconception is that they are permissible because you are allowed to use the vessel once without having to immerse it.
This is not the case, however. The reason why they are permitted to use without immersion is because any vessel that you throw away after using it once is not considered enough of a vessel to require immersion (R' Moshe maintains this applies even if the disposable vessel is reused, assuming the vessel is flimsy) - see footnotes 29 and 30 from this document from YU (footnote 30 is mis-attributed to 4:192, it should be Teshuvot V'Hanhagot 3:259. see here as well).