well Oswald figured he needed to get the package out of sight, that's why he carried it swinging it along with just one hand, and went right up the driveway in front of the house, so as to maximize possibility of being seen.
he didn't go take the package earlier, when everyone was still asleep and it was still dark, like say 3am in the morning.
So not exactly someone who was too concerned about being seen with the package it seems
Oswald certainly did take care though, to place package in car just using a single finger gripping it at top, and also removing it again from the car, leaving no more than just a small finger print at the top, even though earlier, he was swinging the package along in one hand gripped it with palm around the top, when seen by Linnie May Randle.
Its also curious how he managed not get more prints on the paper, when he was removing it from the roll in the TSBD, and was folding the paper, to carry in his jacket, and unfolding it again later
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