Under normal circumstances, when you click on a block with a debug stick, the stick will select a block state (left-click) or change the selected block state (right-click), as the wiki describing.

However, what I have been annoyed with is:

With a debug stick on the hand, if right-clicking on a block which is interactive, such as trapdoor (usually wooden), anvil, chest, lever, cake and sign, the debug stick will not work. Instead, the targeted block will be used. This event is preventable by holding the shift key. I think that the bug is of the debug stick itself.

For example, although you have selected the "facing" block state of a chest by left-clicking, right-clicking on the chest opens the chest instead of changing this block state. What's more, right-clicking on a cake decreases the amount of the pieces, but no subtitles were shown, so predicting that the cake is eaten instead of changed with the debug stick.

In order to use debug stick to change the block states of such blocks, you must hold the shift key and then right-click on the block. This means that you can only cycle the block state of such blocks in single (reverse) order.

ADDITION: As far as I am concerned, "any issues resulting of its usage are closed as Won't Fix" because the stick is a tool to decrease or create bugs. But what I have to state is that debug stick cannot produce bugs in this issue. Therefore, I think that the issue is with the stick itself instead of its usage.