The apostles spoke in the languages of other nations on the day of Pentecost.
If it is the case that some misunderstood, and if it went abroad during those times that 'men can speak in the tongues of angels', then Paul would be aware of such misunderstanding and rather than cause a great deal of strife about something that is difficult (or impossible) to actually 'prove', he might choose not to argue but to avoid the whole contention.
We see him regulate any such occurrence by requiring that any speech 'in an unknown tongue' must be interpreted, not by the speaker (who could make something up) but by another witness who must be able to understand the 'tongue'.
And we see Paul state that, even if he spoke in the tongue of angels (though he does not state that he does so, or even could so) yet did so without charity, it would be worthless.
Then, in Paul's later epistles, particularly his last to Timothy, he mentions nothing about the subject when exhorting pastoral care to either Timothy or Titus.
Nor does John, ever, mention the subject in any of his writings which came at the end of the first century and after the departure of the other apostles.
To me, this all points in a certain direction.
But, like Paul, I choose not to enter into contention or strife on the matter, but just to state the obvious.