Having sold tape for a living in the past, I can say that 3M is good tape, with consistent quality control, and the most expensive option available.
The problem with adherence to a carton these days could be that the carton has high recycled content. Shorter fiber strands are much tougher for tape to adhere to, requiring in many cases a better tack in the adhesive.
The three types of adhesive in descending order of popularity and ascending order of cost are hot melt, acrylic, and natural rubber. If you're looking to use packaging tape, hot melt will be the type with an amber tint and a tackier release, while acrylic is clear with a freer release. Natural rubber is pretty much limited to duct tape.
The perception is since acrylic releases so easily that it isn't as sticky as hot melt, but that isn't true. Acrylic has a faster and stronger tack than hot melt, so a release agent is applied to the back of the carrier to enable using the tape without having to fight it to get it off of the roll. In a freezer environment, acrylic is the adhesive used as nothing else will work on cases of frozen or soon to be frozen product.
Look around and see if you can find Shurtape. It's a good quality tape that will cost less than 3M...if that kind of thing matters to you.
This is likely more about tape than anyone really wanted to know.