If I remember correctly, a dirhem weighs about 3 grams. So, a para is a little light to be considered a dirhem.
Album does say that Ahmed I did issue coins called dirhems, plus a lot of other coin values with their own unique names. The taughra was also used on the dirhems along with its use on the para.
Album says that dirhems for this ruler are common.
So the
weight of the coin seems to be important.