That is true.
It is also true that early scribes making early copies may have done the same, which is a very popular academic theory, especially in the case of the Timothy and Titus epistles. Some of the academic theories go even further and say that Paul did not write them at all. They say that some of Paul's followers must have written them after Paul died. I might even agree with them about the letter to Titus, which seems very much like a "blended brother" document to me, just a bunch of quotes lifted out of context from someplace else and then jammed all together and presented as if it was written by their leader, but I'm not convinced at all about the two Timothy epistles.
But you
really get into difficulties when you start questioning the canon of scripture! You might have to take a second look at the Book of Wisdom from the Roman Catholic's version of the Old Testament (which, actually, I recommend that you do that...) Obviously, the New Testament collection of works that we have come to know as "The Bible" was precisely translated from the original golden plates by an entirely reliable source. Oh, wait, no, that's a different story. I meant to say that the 4th century clerics who included and excluded different written works on the basis of their own opinions must have done a perfect job because they were authorized by the Pope to make the selections and the infallible Pope then ratified their decisions.
Clearly, we 21st century believers who have vast access to far more information, and (I'll state controversially) much more spiritual insight derived nearly 2000 more years of consideration and prayer, at least from Biblical scholars beginning with Martin Luther through to the present day,
must recognize and submit to the deputy authority of Athanasius, Bishop of Alexandria, who in his Easter letter of 367, gave a list of exactly the same books as what would become the New Testament canon. Aside from the textual edits made in the earliest years of the assemblies, the interpretations asserted throughout the Dark Ages, the first attempts to translate into other languages, the removal of the Apocrypha from the 1611 King James Version (and subsequent corrections of its typos and archaic spellings), the scholarly revisions of the underlying texts, the subsequent translations and revisions of translations based upon the consensus underlying texts, and the superimposition of more modern interpretations, the Bible is EXACTLY the way God meant it to be from the very day Moses penned the account of his own death down to our present times.
Obviously.
The Lord be with your spirit!