You can use any conditioner that works for your hair and scalp, if your hair likes Jessicurl maybe it likes aloe. Greasiness can be triggered by the stripping or irritant effect of foaming products, be they sulphates or another product that is too harsh or alkaline (hair likes pH ~4.5, skin ~5.5).

Best thing to do with the styling product is experiment, there may not actually be that much petrolatum in that product given it is about eighth on the list, but there is also beeswax (cera alba) which can build up. Personally I only shampoo when my hair needs it not on a schedule.
2a-2c, medium texture, porous/ colour treated. Three years CG. Past bra strap length heading for waist.

CO-wash: Inecto coconut/ Elvive Volume Collagen
Treatments: Komaza Care Matani, coconut/ sweet almond/ fractionated coconut oils, Hairveda Sitrinillah
Leave in: Fructis Sleek & Shine (old), Gliss Ultimate Volume, various Elvive
Styler: Umberto Giannini jelly, Au Naturale styling gelee
Flour sack towel, pixie diffuse or air dry.
Experimenting with: benign neglect