First of all the 'little children' can be of any age
https://marprelate.wordpress.com/2009/12/24/babes-in-christ/
Secondly, the answer is
YES!! If children are not of an age to fosake whatever will keep them from Christ, they are not yet Christians and shouldn't be treated as if they are.
That's why I'm a Baptist and not a Presbyterian.
When Christ called James and John they left their jobs, their fishing nets, their families and all that they had and followed Christ.
When Andrew went and informed Peter that Christ was the Messiah, they both left everything and followed Jesus. (family, work, everything).
When Jesus said to Levi (Matthew), "Come and follow me," Levi arose and followed Christ. He was a tax collector. He left all the money, his tax table, his occupation, everything right there in the middle of the road and followed Christ.
Martin, you of your own testimony, have been able to do that only partially.
Most here have never done that in their lives.
But now you are saying you would expect someone like my five year old grand-daughter, who I believe is saved, to leave her parents, go out into this cruel world of her own accord, forsake all that she has, and be a missionary for Jesus. This is the most absurd position I have ever heard. She is a believer in Christ, not a disciple.