Ok, 2 different bonuses.

Truimph: Occurs after a successful Crusade or Jihad, expires at 5% per turn thereafter.

Glory: Occurs after a glory condition has been met, last as long as that condition is met.

Now in my current game I hold Constantinople as Turks but no glory bonus, ofc that city is a glory goal i.e you have to hold it with Jerusalem to win.

Another bug ?