Hello,
Aluminium free deodorants do not generally stop perspiration. You need to look for a product that is an antiperspirant, deodorant, meaning it contains ingredients (usually aluminium) to prevent sweating. The ingredients used to provide the deodorising benefits can be as simple as a fragrance to mask any odour or ingredients that inhibit the bacteria that cause the odour. Here’s a short article that may also help.
https://www.egoskinexpert.com.au/skinexpert_articles/anti-perspirant-versus-deodorant-whats-the-difference/
Take care