If I owned a 1bg flash drive and a 16gb flash drive and someone made me throw one away, I would choose the 1gb.
Therefore making the 1gb the better option in this particular scenario.
But, I would rather own a 16 gb flash drive as opposed to a 1gb because it's bigger and better.
It depends on if you only need to use it for transferring word documents and like 20 pictures or less. Then the 1 gig would be less expensive and right for you. If you need to transfer 1000's of pictures videos and a lot of big files then 16 gig might be necessary.