We might be having a language problem, but those are not "cracks." They are chips or scrapes from abrasion or minor impact. Just guessing, but you might have had grit on the strap, or more intense, faster rubbing than you realized.
Also even slight contact with a concrete or sandstone edge could scrape paint like this. Preventing scrapes to the bottom of my bodies is one reason I always use a plate.
Or the paint was applied too thinly here. To prevent it from getting worse, maybe wrap with a little gaffer tape. Also you could apply touch-up paint...Appliance paint could work. I'd probably go with the tape.
Can you just leave the foot off when you aren't going to use a tripod? Or are you using the foot as a handle even with a strap?
EDIT: I find this thread interesting because I'm always carrying my 100-500mm by the foot, which has an Arca-Swiss plate, when hiking. I wonder how my sweaty palms will affect the paint in the long run, but the "handle" is so convenient, I don't really care. If I see problems...Gaffer tape!