You mean Azeri (who are ethnically Turks) do not deny the Armenian genocide as well, and the Turks are not particularly interested in helping out Azerbaijan because the other side is Armenia?
You are trying to pull context to somewhere else hard, this current 2020 fight between Armenia and Azerbaijan has nothing to do with Armenian Genocide, its a border dispute connected with events of Soviet Union dissolving. Of course Turkey will help Azerbaijan if even it was not against Armenia but Iran or someone else.