Same.
It's always confused me why some people never see pet food while I see it so often I could skip making it if I wanted to.
But I think increasing the probability of a certain item has more to do with collecting a crafted item before the roll over and less to do with which item you're actually crafting.
It's all RNG based.
So yes, eventually, you'll hit a rut where you will see literally NOTHING but say relics and can go over a day (or longer!) without seeing a single pet food...
Also, it can always happen that you'll get the recipe you're looking for during the 'sleepy time' one typically misses over night, due to the 6hr recipe rotations.
It's not quite as bad on the relics vs. pet food recipes, but it does always seem to happen that when during events for example, you really, really *need* to see relic recipes to speed along a quest/s, you'll only get pet food appear.
Likewise, I can easily go an entire week without seeing a single troop booster... odds are though, I *did* get one, but it showed up after I went to bed for the night, and will be long gone before I wake up in the morning.
personally, I really wish they'd throw the pet food in to the pool of coin/supply/time instants & remove the PP recipes altogether, as we get plenty of those between events + FA's + spire + Red Chocobos...
That way, at least the relic slot will *always* be a relic pack, which can be used for events, gaining pet food/AW currency, and/or early game players having an easier time powering up to their 700% boost.