Minor Spoilers For The Darkhold: Iron Man #1 & Doctor Strange: The Oath Ahead!
After humbling experiences, two distinguished, intelligent, and bewhiskered characters from Marvel Comics—Doctor Strange and Iron Man—became superheroes. Whether audiences have read comics or watched the Marvel Cinematic Universe movies, most people know the origins of these iconic characters. When terrorists kidnap him, Tony Stark, with the help of his fellow prisoner Ho Yinsen, builds the first Iron Man armor. This traumatic event leads Tony to create more models as a free man, becoming the Armored Avenger, Iron Man. Doctor Stephen Strange goes through a similar traumatic experience. He is an arrogant yet skilled neurosurgeon who loses the ability to use his hands after a car accident. He then trains to use the mystic arts to become the Sorcerer Supreme.
Most Marvelites know the relationship between these two characters from the MCU. Even if it's because actors Robert Downy Jr. and Benedict Cumberbatch both play Sherlock Holmes, the chemistry between the MCU's Iron Man and Doctor Strange is a treat to watch in Avengers: Infinity War. The characters atone for their past mistakes as their superhero selves in both the movies and the comics; however, some of their arrogance clearly lives on. This dilemma creates engaging chemistry between the two. In the comics, however, Tony Stark has a problem with Doctor Strange's superhero name.
The Darkhold: Iron Man #1, by Ryan North and Guillermo Sanna Bauza, twists the story after Tony Stark returns. Tony becomes attached to the armor in a scarier way than ever before as it peels off his skin and shatters his bones. The comic stars Pepper Potts, who constantly tries to separate her boss from his Iron Man armor. In one of the early encounters with Tony, Happy Hogan, Pepper, and Jarvis try and talk Tony into taking a break from his suit. Happy tells his boss that he should see a "real" doctor. Tony has doctorates, but he doesn't feel the need to be addressed as "Doctor Stark." Tony believes qualifications don't matter as much as personality, which is why he hired Happy Hogan, a boxer, to be his chauffeur. This logic perfectly explains one of the reasons why he hates Doctor Strange's codename.
Even though Tony Stark has doctorates to challenge Doctor Strange's intelligence, it isn't exactly fair to compare their fields. Tony isn't nearly as medically adept as Stephen. Tony never takes the Hippocratic Oath, as Stephen Strange does. In Brian K. Vaughan and Marcos Martin's critically acclaimed Doctor Strange: The Oath, Stephen guides the Night Nurse through surgery on his own body. Tony Stark obviously doesn't have the magical talent to do this, but he probably wouldn't be able to do this anyway. When it comes to the engineering of his armor and pacemaker, Tony knows what he's doing. However, when medicine and surgical procedure are involved, Strange is clearly better than Stark.
Stephen Strange, like Tony Stark, is still moderately self-obsessed after his superhero origin. The Sorcerer Supreme becomes Master of the Mystic arts super quickly compared to other sorcerers. The Ancient One, Baron Mordo, and even Wong have more experience in the mystic arts than Strange, but somehow he managed to outrank them all. The remarkable thing about Doctor Strange is that he knows he's skilled; he confidently reaches impossible feats. Iron Man also admits to his "textbook narcissism," but at the end of the day, both proud geniuses continue to save the Marvel Universe on a constant basis.