The Blazer displayed a way of wrestling that was totally unique and ground-breaking to 1988 WWF fans, and didn't really catch on with an audience that was more interested in the Buff WWF heroes such as “The Immortal” Hulk Hogan etc. Blazer quickly became a mid-carder, and departed from the WWF near the end of 1989. At no point throughout that original tenure was it made known that The Blue Blazer was in fact the brother of former WWF champion Bret “Hitman” Hart.
Owen spent the next two years active between many organizations -- again with much of his accomplishments coming in Japan. Owen was also briefly a part of World Championship Wrestling, though his short TV tenure was in no way memorable (I cant remember that can you?).
In October 1991, Owen finally made it to the big time. The WWF decided to bring him back, this time without the mask and using his real name. Owen was known as the brother of then Intercontinental champion Bret Hart, and was said in storylines as coming to the World Wrestling Federation to aid his brother-in-law Jim "the Anvil" Neidhart after Neidhart was attacked by Ric Flair.
Because Neidhart and Bret had been hugely victorious as the tag team the Hart Foundation, the new Owen/Neidhart team was dubbed the New Foundation. On the other hand, they never really got off the ground -- in part because Neidhart left the WWF in early on in 1992. Owen, now nicknamed "the Rocket," was still a prized product if you will as far as the WWF was concerned, and was given a singles win at WrestleMania 8 against the man from the everglades Skinner.
Owen was swiftly positioned back into a tag team location, however, as he was opposite with Ko Ko B. Ware to form High Energy. Another team that didn’t do Owen any favours as Ko Ko Left the WWF.
Owen was being located to work as a singles wrestler in mid-1993 -- he was sent down to Jerry Lawler's USWA in Memphis, and had a run as USWA champion, as a means of getting experienced for a WWF run -- but once again, circumstances prevented Owen from breaking through just yet. A severe knee injury kept Owen out for several months.
On the other hand, when Owen returned to WWF, all the pieces were in place for the youngest Hart to finally make a huge impact on the business.