Welcome...it's apparent you haven't brewed yet, but the question is a good one.
It has nothing at all to do with surface tension.
I have 5-6 buckets. They are all around 7 gal capacity. I also have 22 - 5 gal carboys and 2 - 6.5 gal carboys. I still use my buckets for primaries every time.
Brewing a 5 gal batch usually results in an additional 4-5 inches of kreusen. If you pour 5 gals of wort into a 5 gal carboy you are still going to get that kreusen and it will most definitely overflow.
In that kreusen are hop particles, proteins, yeast, etc. They leave a "greasy-looking green-grey ring" on the inside of the buckets...would you like to try to clean that out of a carboy (small opening) every time you brew a batch? I don't. A wide-mouthed bucket is a lot easier to clean, but an overnight soak in a carboy will get rid of most of the ring.
The reason you don't leave it in the primary too long is because you want to get the fresh brew off of the yeast and into the secondary, which incidently, is really a clearing tank...to allow your brew to age a bit, mellow, and clear prior to bottling...it's just easier to witness the process through glass.