Yes. Every other gift is intended to edify someone else. Tongues is the only one that edifies the user. I suspect that is why Paul said it is the least of the gifts, yet it was also the only one he wished we ALL would do. Kind of a recharge station after a long day of giving to others.
You misrepresent Paul. Paul is building his case for 1 Cor 14 based on love which he spoke about in 1 Cor 13.
First he talks about the purpose of gifts in 1 Cor 12
1 Cor 12:
4There are different gifts, but the same Spirit.
5There are different ministries, but the same Lord.
6There are different ways of working, but the same God works all things in all men.
7Now to each one the manifestation of the Spirit is
given for the common good.
8To one there is given through the Spirit the message of wisdom, to another the message of knowledge by the same Spirit,
9to another faith by the same Spirit, to another gifts of healing by that one Spirit,
10to another the working of miracles, to another prophecy, to another distinguishing between spirits, to another speaking in
various tongues,
and to still another the interpretation of tongues.
11All these are the work of one and the same Spirit, who apportions them to each one as He determines.
All gifts are for the common good including tongues. He then explains how different parts of the body work for the common good of the body.
A person working for the good of others portrays love. Then Paul now explain how love works:
1 Cor 13:
1If I speak in the tongues of men and of angels, but have not love, I am only a ringing gong or a clanging cymbal. .....
4Love is patient, love is kind. It does not envy, it does not boast, it is not proud.
5It is not rude,
it is not self-seeking, it is not easily angered, it keeps no account of wrongs.
6Love takes no pleasure in evil, but rejoices in the truth.
7It bears all things, believes all things, hopes all things, endures all things.
Then Paul goes on to correct the wrong that bedeviled Corinth:
1 Cor 14:
1 Earnestly pursue love and eagerly desire spiritual gifts, especially the gift of prophecy.
2For he who speaks in a tongue does not speak to men, but to God. Indeed, no one understands him; he utters mysteries in the Spirit.
3But he who prophesies speaks to men for their edification, encouragement, and comfort.
4The one who speaks in a tongue edifies himself, but the one who prophesies edifies the church.
Many people misunderstand Paul and they take the very thing that bedeviled Corinth and apply on themselves just because it is mentioned. Self edification is wrong, there's no love in it. Speaking mysteries to other people doesn't benefit them and there's no love in it. Where there's no love there's no God also. Paul goes on and explain how tongues were supposed to be used for the common good but mainly:
1 Cor 14:
9So it is with you. Unless you speak intelligible words with your tongue, how will anyone know what you are saying? You will just be speaking into the air.