British Annexation of Northern Ethiopia and Eritrea in 1868

Could Britain turn the various local princes in Northern Ethiopia and Eritrea into protectorates during or in the aftermath of the British Expedition to Abyssinia.

Would this encourage the the British to take the rest of Ethiopia.

How would this effect the region and colonization

They had the chance to and did with the future Emperor Yohannes IV but wagered that it wasn't worth the effort and were willing to let the Egyptians take Ethiopia.