Back when I was a Saturday driver, we were told that anything we were delivering, should be considered 'mission critical' as they were paying a substantial amount for Saturday delivery. For packages that were 'real' 1S packages (as opposed to packages upgraded to Saturday delivery because they missed a plane, do any of those ever get delivered on Saturday???), I did everything I could to get them delivered on Saturday. If I would have received the new resi address, I would have DR'd it out of sight, but near a door or in a garage. The phone call with the intercept tells me they were tracking it and doing everything they could to get it ASAP.
We were told to attempt all Saturday packages twice and call the center if we could not get rid of it for either DR instructions or alternative delivery point.