Five-axis machining is not automatically better — it is better when the geometry or the set-up count makes it better. Here is how to tell which one your part needs.
On a 3-axis machine the part is fixed and the tool moves in X, Y and Z. Each new face normally means a new set-up. On a 5-axis machine two rotary axes move as well, so the tool can approach the part from almost any direction and several faces can be machined in one set-up.
Prismatic parts, plates, simple hole patterns and parts that are naturally accessible from a few orthogonal directions are usually faster and cheaper on a 3-axis machine. Forcing them onto a 5-axis machine buys nothing but a higher hourly rate.
We hold ±0.005 mm on 3-axis work and ±0.01 mm as standard on simultaneous 5-axis. The figure that matters more than the headline number is stack-up: every re-fixturing adds error, so a 5-axis single-set-up process can produce a more consistent part even when its per-feature tolerance is nominally wider.
Five-axis machine time costs more per hour, but it can still be cheaper overall if it removes two set-ups, a fixture and a re-fixturing error. Judge the choice on the total process, not the hourly rate — and on batch size, because the set-up saving repeats on every part.