Hi @willem,
The search behavior for trees in Specify is set in your user preferences.
You can change which field you are searching between Name and Full Name, and you can change the search algorithm between Starts With and Contains.
By default, if you do not have a Name value in that tree that Starts With ‘cy’, you will not find any results. You can change this to search the Full Name and use the Contains algorithm to return any node that has ‘cy’ anywhere in the name.
You can even set default user preferences for all users at a given scope (collection, discipline, etc.) so it behaves the same for everyone accessing the trees.