No. The idea of "going down a footpath just to see where it leads" is not "getting lost."
Instead, it means just poking around to see where it will take you, exploring for the fun of it, following your nose to see where you'll end up. There's no idea of getting lost.
The idea is exploration for fun.
" The next time......for a drive", does the author imply that "you", under the circumstances, are anxious and impatient and will almost lose “his ”temper？
No. The reference to taking the baby for a drive is to a piece of folk wisdom which holds that a colicky baby who cannot be comforted by any other method is soothed by riding in the car.
It is widely believed that babies who are crying and fussing without relief will drop off into a blissful sleep as soon as they are taken for a drive.
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