I don't think so if the person speaking the tongues language has no idea what he is saying and it happens to be understood by a native speaker of that language.
I have a close friend whom I know can speak only English. He was in a prayer meeting once where everyone prayed in tongues. A visiting brother from Ghana was present. He got quite excited when he heard my friend praising God in his own village dialect, a language which my friend could never have known. I knew the Ghanaian brother personally while he was in New Zealand, and he confirmed it and that it was a total miracle.
I was in church, where tongues was spoken, and I was praying during an altar call. A Maori lady, who could speak the Maori language fluently (I didn't know the language at that time), heard me speaking the Maori language fluently, without any accent, and it was words of encouragement from the Lord to her.
I have another friend who spent most of his childhood and teenage years in a Pentecostal church in Kenya in the 1950s. He said that men, who had never had any contact with Europeans, came in from isolated areas, got saved, filled with the Spirit, spoke in tongues - and some of them spoke perfect Oxford English, praising the Lord. No African can speak English without an accent unless he had spent his childhood in England. It is a fact that a child has to learn a language before the age of 4 to be able to speak it without an accent. Swiss children can speak English, French and German without an accent, because they learned these languages by the age of 4. Anyone older will speak with an accent. These bush men were mature men and when they spoke in tongues, they spoke English without an accent.
These are testimonies from people that I know personally. It is one thing having an academic and theoretical view about these things, but the genuine experience of people that I know who are totally honest outweighs it. The guy from Kenya is a very strict Calvinist and has a theology to match and is very particular about what he believes and does not believe, and he is totally convinced that these bush men received genuine tongues that turned out to be pure English.
But all the people I have just spoken about were speaking "non-understandable babbling" as you put it. They, including me, had no idea what they were saying at the time. Tell me, how can a person speaking in a non-understandable tongue be speaking Ghanian dialect, Maori language, and English if it were not the Holy Spirit. Who else is able to cause that to happen?
The problem with anti-tongues teaching being drummed into a person for years during their Christian formative years is that they are locked into that belief and nothing can convince them otherwise. This is what happened to the Pharisees. They were the conservative theologians of their time. Not all of them were evil men, although the ones who trolled Jesus were. Their error was that they had teaching drummed into them that the Messiah was going to come as a powerful Saviour who was going to free them from Roman domination. When Jesus appeared as something different, even though they saw the miracles and heard the teaching, they simply could not believe anything different to what they were taught.
I propose that even if you saw someone you know speaking in a tongue, and a Chinese person got up and said the person was speaking in Mandarin, a language that the other person could never have known, praising God. I don't think that you would believe it even then, because your years of anti-tongues teaching would blind you to it.
As it is, your indoctrination has caused you to pick and choose which of Paul's writing you choose to believe as truth and which you have been taught is mere speculation.
I know of a child from a broken home who had it drummed into her that her father did not care about her because he was not around during her childhood. Even though the father did make contact some years later and showed for the next 22 years that he did love and care about her, she could not believe it and this caused a rift between them. So the indoctrination drummed into her that her father was uncaring and callous toward her shaped her attitude to him right into adulthood, and nothing that could be said that could snap her out of it, even though it could be proved that her father did care for her during their years apart. My daughter studied this for her psychology degree and was able to confirm to me that this was a scientific fact that teaching and attitudes drummed into a child through their childhood remains for a lifetime, even though the obvious facts are quite different.
This is why many are prejudiced against tongues, because they have had anti-tongues nonsense drummed into them for years and so they cannot believe anything else, and will use every argument against it, even though there are thousands of testimonies of people having their experience with God greatly enhanced through the use of it, and the many miracles of people speaking in tongues not knowing they were speaking understandable languages which were acknowledged by others in the group.
Of course, you can rightly say that I had the first 12 years of my Christian life having it drummed into me that tongues is genuine and from the Holy Spirit! So I might be as bad as you are, for different reasons!