A jigsaw is never meant for precise work. It's for the dirty timberwork when building houses, where stuco hides everything.
For furniture, you NEVER need (read: want) a jig-saw.
Omg how dare you lol a jigsaw is my main tool on the job I install 20-40 grand kitchens for people and they have to be perfect and I always use a jigsaaw for the finishing of fillers, shelves, cutting units down, even making boiler units and only use the router for the worktop butt.
To the op - having control over a jigsaw is like an art you feel the cut you play eyball tennis with the pencil line and the blade, feel yourself go into a very hyper alert trance where it's just you and the blade (lol)

Oh and never try to do a curve always straight lines nibble the excess and sand for a nice neat curve 110% concentration needed at all times!!