I cannot speak for other denominations, but my southern Baptist upbringing causes me to consider this Scripture.
Genesis 3:21 NKJV Also for Adam and his wife the LORD God made tunics of skin, and clothed them.
Since They had been naked before God and one another up until the Fall, why did God make tunics for them now? For the answer to that we must look back to:
Genesis 3:7 Then the eyes of both of them were opened, and they knew that they were naked; and they sewed fig leaves together and made themselves coverings.
All that God did was to give them a more permanent covering, not because their nakedness was wrong, but because it was now something of which they were ashamed. In other words it was because of their now being evil minded that their nakedness was covered.
It just seems, in my Southern Baptist mind that if clothing were given to ward off evil that when being baptized it is just as important to make the clothes a part of repentance.
It is also significant that Jesus himself was baptized with his clothes on, and so were others.
Matthew 3:13 through 15 NKJV Then Jesus came from Galilee to John at the Jordan to be baptized by him. 14 And John tried to prevent Him, saying, "I need to be baptized by You, and are You coming to me?" 15 But Jesus answered and said to him, "Permit it to be so now, for thus it is fitting for us to fulfill all righteousness." Then he allowed Him
Although it does not say that Jesus stripped down before being baptized, if it were significant I feel it would have been said.
It should also be noted that Baptism is a spiritual happening rather than a purely physical thing.
Matthew 3:11 NKJV I indeed baptize you with water unto repentance, but He who is coming after me is mightier than I, whose sandals I am not worthy to carry. He will baptize you with the Holy Spirit and fire.
Earthly baptism is representative of being baptized into Christ.
Matthew 28:18 through 20 And Jesus came and spoke to them, saying, "All authority has been given to Me in heaven and on earth. 19 Go therefore and make disciples of all the nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit,
20 teaching them to observe all things that I have commanded you; and lo, I am with you always, even to the end of the age." Amen.
Baptism does not end with the dunking into water, it is also meant to begin the training of the converted which is the meaning of Jesus saying Go therefore and make disciples of all the nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit,
He further emphasized ** teaching them to observe all things that I have commanded you;**
Last of all let me add that Baptism is not a physical thing it is a Spiritual thing.
Acts 8:38 and 39 NKJV So he commanded the chariot to stand still. And both Philip and the eunuch went down into the water, and he baptized him. 39 Now when they came up out of the water, the Spirit of the Lord caught Philip away, so that the eunuch saw him no more; and he went on his way rejoicing.
So to my way of thinking whatever covering you are baptized is of menial consequence. to the point that some Churches have taken to using Baptismal robes mostly because some have been baptized in clothing which when wet leaves the wearer without any modesty; and that was God's reasoning behind clothing in the first place.
Hope this helps.