Do empty gameObjects affect performance of mobile games?

I’m making a Tetris-type of game where I have an 8x8 grid.

In order to spawn objects at precise positions, I want to create 64 empty gameObjects within Start() function.
They will remain static throughout the game and correspond to the 64 different positions on my grid.

Their goal is to make use of their position to spawn objects at their precise position.

Do you think that having those 64 empty objects there at all time will affect performance on a mobile?

Thanks in advance.

Nope.
Heavy rendering and badly designed loops/Update() methods are 100 times worse for performance than any manageable amount of GameObjects.