15 settlements 15 conquests same difference?

[Mind Flower]

Im currently a chief, limiting me to 15 settlements. Im wondering if I have unlimited conquests or they count as settlements causing unhappiness?

 

[Thunderbrd]

Im currently a chief, limiting me to 15 settlements. Im wondering if I have unlimited conquests or they count as settlements causing unhappiness?

Captured cities are still cities owned and the count is of cities owned.