As of at least patch 4.4.0 there ceases to be a "search". Chests are now either unlocked (Pharmacy speeds this up) and Rummaging (Appraisal speeds this up). The use of the term "search" here is misleading because probably everyone who reads it will think Appraisal speeds up both actions. It doesn't, I tested it. I'd edit the wiki myself usually, but unlike other game wikis I do not feel welcome to do so on yours.