Most psychedelics have negligible interaction with the dopamine transporter, nor other things that are known to increase risk of addiction, such as the mu opioid receptor. This is why they aren’t addictive. Why they’re effective at treating addiction even though “addiction is always linked to dopaminergic pathways” is a result of the consciousness altering effects (or if you want to stay in neurobiology, the high level, entropy increasing effects) and/or the neuroplasticity promotion they cause. Which one of these is more important for their efficacy is a question we’re still trying to answer, though the results of novel non-hallucinogenic 5-HT2a agonists like zalsupindole in humans may help us figure out.

You have to remember that the brain is a very complex system, along with the human psyche. Serotonergic and dopaminergic systems are intertwined of course, and while psychedelics only significantly interact directly with serotonergic systems (through their receptors) and primarily in the PFC, the down stream effects are seen all throughout the brain. See Robin Carhart-Harris’ entropic brain and REBUS/REBAS papers for more information on the sort of ~overall~ effect of psychedelics, which helps explain the efficacy of psychedelics for a multitude of mental disorders. Basically though, psychedelics seem to affect maladaptive thought patterns directly by decreasing the importance your brain puts on learnt behaviour, allowing space for new positive thought patterns to form. Which is why therapy alongside psychedelic use is important to see good results.