Mustard Squirt - Hotdog Animation

tie-version

Hello,
I wanted to make an animation of mustard (or ketchup) being squirted onto a hotdog in the classic swirly way, from a bottle.
I made a start with this using spline wraps, but lacked any real expressive visual appeal, as the bottle needed to be right next to the hot dog.
I have tried using xParticles, but its very tricky.

Is there a sim technique where the sauce could emit from the bottle and then follow a flow to look like the below.

Thanks in advance.