Where did you get this from? Oda told you? Or you missed Bobbins burning down an Island on his entrance. Is Dressrosa a territory of Mama? is Zou? We've seen the Big Mom Pirates carrying campaigns. Heck, Katakuri wasn't even on Whole Cake when Luffy got there.
Tamago and Pekoms and Bobbins are Combatants who use the Queen Mama Chanter to do missions outside of Tottoland.
Meanwhile the Majority of the Beast Pirates operate outside of Wano