Privacy encompasses more than physical search. So, no, it is still not in the Constitution. What is in the Constitution is which branches of government do what, and no such convenient overlap is afforded to the judicial branch to allow them any latitude, certainly not a lot, to grease the wheels of societal evolution.
What's vague about this amendment to you? That it lacks a footnote saying "Yes we deliberately did not include a right to privacy here, but want to give the Court some wiggle room to do the right thing"?