There is a difference between the two. The simple present is a statement of fact, devoid of any implicit opinion about that fact. On the other hand, the continuous form, particularly in combination here with the adjunct always implies a negative opinion about the fact.
Aarts in Oxford Modern English Grammar (p269) calls this the "progressive of irritation". He gives the following example:
She's always poking her damn nose in, isn't she?
The sense of irritation comes about through a combination of discourse
context, the verbal meaning, [...], and the presence of adjuncts like
always, forever, continually.
As a further example, consider the two sentences:
I always lose my keys.
I'm always losing my keys.
The first is a statement of fact and would typically be followed by some kind of contextualization:
I always lose my keys when I forget to hang them up as soon as I get
The second can stand by itself, and implies a mild irritation about the repeated event.