The thing is: when things are not as they should be, one notices. If drawers were opened in the baby's room when they shouldn't have been, I think it would have been noticed. Besides which, I remember DB stating in one of the early interviews (when asked by a reporter if anything was out of place in Lisa's room - paraphrasing) that nothing was missing or out of place and it was as if "they" had just disappeared.
IIRC, DB's comments about "not checking" were regarding whether or not anything else was missing (i.e. valuable items a burglar might be interested in, is how I interpreted it).
I don't believe for a minute that the alleged *kidnapper* ransacked Baby Lisa's bureau & stole clothes, and then tossed those same clothes later that night in an area where the searchers conveniently found them earlier today.
The closet was right there open and exposed with clothes hanging. Clothes were assessable without going through drawers per video of the room.