With a loose forestay what you probably have is not lee helm but SLIP to leeward. With the boat slipping off to leeward (and also not able to 'point' to weather very well) you will also feel a bit a helm pressure like the boat is having a 'weather helm' imbalance in the tiller but is still behaving like leehelm.
Try running the forestay tighter so that the
jib (luff) more or less conforms to the shape that the sailmaker cut into it. Take the
jib and lay it FLAT on the ground then notice the 'curve' that luff (leading edge) take --- when sailing (generally) the curve in the luff of a
jib should be close to the curve when its laying FLAT on the ground .... you adjust this 'curve' (forestay sag) by adjusting the forestay tension (or more correctly by backstay tension in a boat that has a backstay). When sailing and with proper forestay tension the
jib should be 'similiar' in shape as what you saw when the
jib was laying FLAT on the ground.
A
jib thats on a too-loose forestay will develop some severe draft/fullness problems .... a draft positon thats too far aft and also too full in the wrong section of the sail. .... a correct or tight forestay will usually correct all of this.
You can also do a websearch for "luff sag" and do a bit more or research on the matter.
hope this helps.