Teaching hadith is a trust requiring sound intention, freedom from self-serving worldly motives, and good character. The teacher's aim is accurate transmission and the student's benefit, not the display of personal prestige.
Taṣḥīḥ al-niyya means correcting one's intention and protecting the study of hadith from inappropriate motives.
A teacher should convey knowledge when it is needed, while directing students to a more suitable available expert when appropriate rather than insisting on personal priority.
Good intention and professional conduct support, rather than replace, accuracy in transmitting the wording and its provenance.