Outside of the Sanskrit tradition people have wrongly stated that this bahuvrīhi [ jitakāmaḥ] is therefore "based" on the karmadhāraya. I say "wrongly" because no such compound ever existed nor indeed would one expect to find jitakāmaḥ as a karmadhāraya compound meaning "conquered Kāmadeva".

Again, there was never any tatpuruṣa cakrapāṇiḥ meaning "the discus in the hand" so it doesn't really make sense to speak of a bahuvrīhi based on the tatpuruṣa.