We need to be careful about treating the name of Jesus as a kind of talisman or charm, like it's a mantra, or that just by saying it, it, that is, the name, and not the One who bears the name, has power.
We read in
Hebrews 1:3 that Jesus by Himself purged us of our sins.
Revelation 1:5 reads that Jesus washed us from our sins in His own blood.
When someone is to be immersed, it's not simply vocally calling out the name Jesus that means anything. Lots of folks invoke the name Jesus, and get nowhere with the Lord, such as the seven sons of Sceva.
Rather, when we call out, it's not to call out the name Jesus, it's to call upon the One who bears the name Jesus. By calling out His name, we are actively summoning Him to the occasion, petitioning Him to purge the repentant believer of his or her sins by washing that repentant believer of his or her sins in His own blood.
So, if no one is actually calling out to Jesus to come and be a part of the immersion, and do what He does when a repentant believer is immersed, which is remit sins and seal with the Holy Spirit, what makes us think He's just going to casually show up just for the fun of it?
You're on a 24 foot ladder cleaning out your gutters in November, and a strong gust of wind destabilizes your ladder and you fear you're going to fall. You cry out "Jesus!".
Do you want the name to do some special trick to keep you from falling, or do you want Jesus of Nazareth, the Man from Galilee, to supernaturally reach into what's happening, to stop you from falling? You want the Person who bears the name, and not merely the name without the Person.
Same with Biblical New Covenant immersion, and much else besides. The first is proper Biblical etiquette at an immersion. The second is mysticism and superstitiousness.