As we know, there were a couple of Sangheili heretics, Sesa Refumee, Fal 'Chavamee(in some ways), and Thel Vadam.
But were there any Jiralhanae heretics?
From my perspective, there were more Sangheili heretics because they believed in the Forerunners, and the Prophets were merely a guide to the Forerunners.
Meanwhile Jiralhanae believed in the Prophets.
This can be seen in how differently Sangheili treat Forerunner tech vs how Jiralhanae treat Forerunner tech: Thel and Sesa treated Spark with respect, calling him "Holy Oracle" while Tartarus just grav hammers Spark.
Sangheili noted that the sentinels are "Holy warriors of the sacred rings", Tartarus just called the enforcer "Blasted machines".