Thanks for the survey. 

Made also some search in the official invotory and this tree as effectively no name : https://sites.heritage.brussels/fr/trees/3442 if yes they indicated in the description (for exemple  : https://sites.heritage.brussels/fr/trees/400 ) 

According to Verifiability principle on OSM https://wiki.openstreetmap.org/wiki/Verifiability this name is clearly not a real name, the article on woodwideweb doen't describe the name at all, just on the title (if the name is more than "poetic" they links the reference of the naming) :  here not. 