That not true
If you read the book of Acts, the reason why Peter said Baptism in the name of Jesus was because he was ordered to teach in that Name. Peter did as I believe, biblical baptism in the name of Jesus as a public rebuke of leaders and to bring attention to the Lord Jesus.
Acts 4:7
7 And when they had set them in the midst, they asked, “By what power or by what name have you done this?”
8 Then Peter, filled with the Holy Spirit, said to them, “Rulers of the people and elders of Israel: 9 If we this day are judged for a good deed done to a helpless man, by what means he has been made well, 10 let it be known to you all, and to all the people of Israel, that by the name of Jesus Christ of Nazareth, whom you crucified, whom God raised from the dead, by Him this man stands here before you whole.
Then Peter said something very telling to them.
11 This is the ‘stone which was rejected by you builders, which has become the chief cornerstone.’ 12 Nor is there salvation in any other, for there is no other name under heaven given among men by which we must be saved.”
Peter did not even mention water baptism to them.
After Peter spoke to them the rulers had a side meeting and came back and said:
17 But so that it spreads no further among the people, let us severely threaten them, that from now on they speak to no man in this name.”
18 So they called them and commanded them not to speak at all nor teach in the name of Jesus.
19 But Peter and John answered and said to them, “Whether it is right in the sight of God to listen to you more than to God, you judge. 20 For we cannot but speak the things which we have seen and heard.”
21 So when they had further threatened them, they let them go, finding no way of punishing them, because of the people, since they all glorified God for what had been done.
The context of Baptism in the Nae of Jesus was done in opposition to the command they received. That is why Baptism in Jesus' name was happening. Learn church history over a denomination's doctrinal teaching trying to elite one verse in scripture.
Also, Acts was written by Luke after the events that took place were recorded in the book. Context is important, sir.