The stay on top option is given to the recipient of the sticky note as it may cause annoyance if the sender sets the option.
The sender's "Stay on top" is not considered when receiving the note on the recipient's computer. The "Stay on top" property will be applied only if the recipient has enabled "Stay on top" in Preferences->Advanced.
Go to Notezilla 's Preferences and enable the following options to ensure that all notes that you receive will stay on top: