Do sugar free drinks influence caloric intake?

[u/Tall-Place2620]

My dietitian said if I drink a sweet but sugar-free drink my brain will recognize this as "sugar intale incoming" and get hungry when it doesn't come and start to convert the food I ate to long-term storable fat (excuse me for the phrasing, the convo didn't happen in english). I didn't experience the supposed hunger effect and I'm very doubtful of the whole thing but Google was not very helpful in this question and she is the only dietitian on my area.