Well, it may, if you follow some very precise ideas.
First of all, counting is about how many objects.
It’s not about a rhyme or a song, so do as much counting objects as you can.
How many cakes, how many sandwiches, how many knives, how many forks.
There are lots of opportunities to count. When you count in their presence, count out loud. Show them you use it.
Counting the steps as you go up, 1, 2, 3, 4 may be okay. But just reciting numbers without carrying a meaning isn’t really supporting their sense of maths.