For examples nowadays can you bring physically huge amount of cash or gold across borders without being detained? In the empire of old you really can. One of the richest men ever existed in recorded history Mansa Musa, 14th century King of Mali has been reported to travel with tons of golds on the way to pilgrimage in Mecca because apparently his empire held half of world's gold resources at the time [1]. According to historians he so lavishly did he hand out gold in Cairo Egypt that his three months stay caused the price of gold to plummet in the region for 10 years, wrecking the economy for many years [2]. This is probably the main reason modern countries do not allow bringing along your stack of cash or gold in very large amount when you are travelling across borders.
Regarding your not-so-unified under the empire arguments, the city of Dubrovnik in Croatia will not be successful for 500 years (being a main port-city rival to The City of Venice no less) and will be really stupid to pay Ottoman tributary for 500 hundreds years! Additionally these port-cities such as Dubrovnik are autonomous and not even directly under the empire administration. I'd imagine the countries or states under the Ottoman empire will be even more integrated than that in term of taxations and contributions? It will be like asking UK to pay taxes/contributions for several hundreds years to EU even after the separation from the EU. Without a unified and strong empire you cannot do that even in today's world let alone in 16th century AD.