When I was a child I had a cat that ate white bread with butter and homemade raspberry jam. She also stole Christmas cake and ate the whole slice, raisins, currents, sultanas the lot.
Another was fond of Danish blue cheese, my sister's Siamese ate potato crisps and in my adult life I have had a cat that ate figs. I like them too, and had to keep them in a tin with a tight fitting lid to keep her off them.
A lot of cats, especially females, eat yeast, many drink tea, fewer coffee.
All of my cats have sampled the Christmas baking every year, although there is no consensus amongst them as to which of the three to seven varieties of biscuit taste best.
So no, your cat is fortunately not broken - she/ he may be slightly constipated and dealing with it sensibly by eating dates.
And we had two, rescue cats that had been badly treated before we got them, that we had to wean off beer - the one sniffed glue too, and was all over our son when he came home from work - he's a DJ ,smelling of hash, although he did not smoke it himself, but his clothes picked up the scent. We had to be very careful to screw the lids back on glue!