Hair styling products have no direct relation to hair loss but you may suffer temporary hair loss with some products. If you noticed then stop applying products and don’t worry about the lost hair they will return. Here is a link to enlighten you about hair loss, please check it Women hair loss
There are no perishable items involved in the production of hair products, but still regulatory authorities made it mandatory to mention expiry dates. I think, it’s better not to use any expired products.