The definition of "Baptism into Christ" is abstract, hence it is a generality. (Indefinite statement)
Water Baptism is not. (Definite statement)
We may debate their purpose but not their form.
Scheme and form was not discussed by apostle but explained
R6/7/8
And G/C/E
Christ is power and wisdom
Who baptised into Christ baptised into power of God and into wisdom of God
Till not baptism should start and ongoing to be
This is spiritual and not about visible things
For children in allegories explained spiritual baptism by apostle
But invisible that is spiritual has manifestations by which one can understand what is result
One which is not born from spirit of course
Who is in the spirit that see invisible
Flesh sees flesh- spirit sees spirit
Who is in spirit will not wait manifestations