I am glad you posted a picture. From the title I was thinking about the above the counter knife blocks.
I think the "fingers" are different pieces of wood.
Off-the-cuff thoughts on how to make this.
a) The Bottom can be a solid piece of maple, you mentioned 1/4in thick.
Cut the fingers to be "L" shaped with upper part of the L going down the block and lower part over the bottom.
Glue the fingers onto the bottom using e.g., tongue depressors or some pieces of plastic to give you the spacing.
b) Rout the slots out of a solid piece of maple. One set of passes for the top and another set for the bottom. May be easier to use the table saw if you are going with 1/8in space and a blade which makes a flat bottom cut.
I would not expect the blade to burn. This is not a deep cut so should be able to have a feed rate fast enough to avoid burning.
If you go with b) I do not think this will curl. If you are concerned, rout out a couple of 1/4in grooves side to side on the back and glue in pieces of maple to give reinforcement of grain running the other way.