TSN Wrestling featuring the AWA ran from the network debut in 1984 through early 1986. It was an exclusive show to that network, with about 90 percent of the matches being broadcast from the Winnipeg arena monthly card. Standard format was 1) arena match from the previous card, 2) classic match from the past (between 1980 and 1984, all form Winnipeg), 3) Main event match (again from previous card).
After the AWA was forced out of Winnipeg the TSN show changed briefly to a WWF show out of the Winnipeg arena.I don't think it lasted long. The WWF only came a couple of times a year and could not have sustained original content like the AWA did. With Canadian Content rules in place that likely is how TSN moved forward...I believe Stampede came next.
The local Winnipeg show ran arena clips from Winnipeg as well but may have started only in the middle of 1984, that is the earliest footage of the Winnipeg show I have been able to find outside of the TSN show. The arena clips on the local tv show were shown around the interviews and promoted the upcoming card. Their TV later was squash matches and the odd angle taped out of a local high school gym.
They also would broadcast major angles from regular AWA TV but occasionally did their own thing. Larry Z turned on Bockwinkel in Winnipeg on a TV angle, for example, as opposed to the Atlantic city Nunchakus angle that the rest of the AWA saw.
Pre-1984 Winnipeg TV footage is somewhat scarce (frustratingly, it's like nobody in that city owned a VCR before 1984) so if they may have with more of a regular AWA TV show before 1984, but Canadian Content rules might also have dictated they do more local things.
TSN retaining the rights to the Winnipeg footage it showed is entirely possible but they seem to have no plans to use it. TSN is affiliated to a degree with ESPN so a similar agreement being in place could definitely be a thing.
Hope that helps some. The TSN rights thing is definitely in play, not that it means much if they don't ever intend on using it.