Keen-Eyed Curator + Osteomancer Adept interaction appears to be bugged.

In Arena, it looks like if you cast a Keen-Eyed Curator from your graveyard via the activated ability on Osteomancer Adept, the Curator will see any cards you exiled to the forage as cards "exiled with Keen-Eyed Curator" and will count them towards the four card types needed to give it the +4/+4 buff.

Link to the 17Lands replay showing this in action on turn 6 (it's not super clear here as 17Lands doesn't give the count of how many card types are exiled with Curator, but it does show the Orator tucked under it, and Arena's UI was showing all three cards exiled under the Curator with "3/4" showing the type counter):

https://www.17lands.com/history/957befedca144d34934611b66d98422c/2/0/91

Due to an unfortunate misclick later in the game involving Ygra, I can't guarantee Curator was going to get buffed once I had exiled a fourth card type with it, but the UI certainly suggested it would, and if so, I believe that's a bug.

Curator has two linked abilities: the activated ability to exile cards from graveyards and a static ability which buffs it when four or more card types have been exiled with it. According to 607.2a of the comprehensive rules:

"607.2a If an object has an activated or triggered ability printed on it that instructs a player to exile one or more cards and an ability printed on it that refers either to 'the exiled cards' or to cards 'exiled with [this object],' these abilities are linked. The second ability refers only to cards in the exile zone that were put there as a result of an instruction to exile them in the first ability"