I opened my machine job shop in 1984 and still have all the equipment and tools. Bandsaw was first tool bought, HF quality and price, but not brand. I know it has cut a million or more parts since it was purchased, because I DID a lot of production machining too; 1000 pc runs, etc. Still cuts staright as an arrow if you know how to adjust them right. Is probably on 3rd set of guide bearings and when original motor smoked I replaced with a new 1/2 hp Baldor. Chopsaw here to, but only used on hardened materials or mystery steels.
A few differences:
Bandsaw blades snap and can be used after in billets
Chopsaw blades can and do explode if hidden cracks are lurking inside.
Bandsaw kerf for cutting is 1/16" wide or less, Chopsaws cut 1/8"-1/4" wide and excessively heat both sides of cut area. Multiply # of cuts times cut width to determine how much material is lost per job.
Bandsaws, such as the HF pictured in original post, are designed to cut "DRY". I collect all my nice clean metal dust and keep each specific material flavor seperate as it works great later for powered damascus and hey, it's free.
Chopsaw just throws a bunch of sparks that seem to go where they want and pose a fire threat too.
Bandsaw will cut non-ferrous materials.
Chopsaw, wheel loads with non-ferrous materials and more potential for exploding wheels.
Bandsaw can cut precisely as in the slitting of Fredrick crosses,
Chopsaw doing same???????...... I wanna watch.
Chopsaw alternative, use your angle grinder.