Lifesteal item with Bloodrazor

I have been trying to figure out how to maximize lifesteal with bloodrazor ( ) item. I'm confused if the %hp damage done by this item can be utilized by or do I have to get .

BT does lifesteal so , it offers more damage (indirectly) while DD doesn't. ( or so I thought).

Hope community will explain which one is better with bloodrazor.

PS. BORK is good yet i see bloodrazor as a cheaper jg alternative to . Though i sometimes go bork just for mix of lifesteal + AS + small AD. ( instead of going crit build PD.)