Yes, it does save time for the back in person. The pull in person has to wait. I guess the pull in person has more time to spare.
Per the bolded: Is that comment really necessary?
I drive a lot, and so I use parking lots several times a week. I live in one of the most densely-crowded parts of the country. Being in a hurry here is just a waste of time. And no one likes waiting - it's part of human nature. Now, if someone's taking 5 minutes to back into a parking space, that annoyance is understandable. However, I've seen some drivers take forever to pull into
a spot. The issue isn't whether they're pulling in or backing in, it usually depends on the skill of the driver. But a skilled driver can back into
a spot as quickly as they can pull into that spot. We have a lot of parallel parking here; ya wanna talk having to wait while people get their cars into those spots? But it's life.
If I can, I park nose-out. But I also park far back in the lot. So while people are jockeying for spots near the store entrance, I'm going to the back where it's easy to pull-through (not illegal here). There are some town-owned lots where nose-out parking is banned, but there is signage for that.