I tested both ways, and found both did the job pretty equally. I did end up preferring using the vacuum in the end, as it was easier (no awkwardly sitting/rolling yourself on the bag) and faster. I also enjoyed watching four pillows being squished like marshmallows. Nice for storage and a little entertainment; not bad!
I plan on using all of the bags and am excited to not only use them for car transportation but also for storage in our new apartment. The Vacuum Packs get two thumbs up from me!