When Tyrian fails a mission, she simply just tells him "you disappoint me" and does practically nothing else she understands that considering that he worships her slavishly, this will generate him insane with grief. When Cinder is hurt, she cares for her and allows her via it she is aware of that Cinder hates staying weak and coddled, so this drives her to get better significantly more rapidly than she in any other case would.