I also use a separate conditioner with my shampoo bar, because I want to accomplish more than just adding superfat oils and non-saponifiables from the soap. I use a zero "cleansing" soap recipe similar to Genny's with a moderate superfat (5-6%). A separate conditioner also lets me apply conditioner where conditioning is needed and leave it off where it's not.
FWIW, I have a suggestion to share --
If you want to use an acid rinse, but don't like the smell of vinegar or the feel of cold vinegar water trickling down your back, use powdered citric acid instead. Some people have it on hand for bath bombs. If, like me, you don't do bath bombs, citric acid is sold in the US in many grocery and hardware stores -- look for it in the home canning section. It's used to acidify home-canned tomatoes.
Just put a pinch or maybe two of the citric acid powder in the palm of your hand. Don't overdo it; a little goes a long ways. Add a small splash of water to the powder and the powder will dissolve almost instantly. Put the solution on the crown of your head and let it trickle through your hair, perhaps with some massaging and a bit of extra water to help distribute it evenly. After a few moments, rinse with fresh water and apply conditioner if you like.
Caution -- As with vinegar or soap, don't get citric acid in the eyes!