If the Moose were an issue for the NHL, TNSE would have shipped them out long ago. I doubt it makes a significant difference to the bottom lines of TNSE generally or the Jets specifically. I don't doubt there are a few people who go to a few Moose games a year instead of one or two Jets games, but I would bet the entire Moose season brings in the revenue of maybe a couple Jets games so we're not talking a major impact.
The reality is most people don't spend hours near the venue before and after the game so bars and restaurants nearby don't really matter all that much for the most part. People are soured on the arena because downtown has taken a real turn for the worse since the arena opened in 2004. It was always a bit on the rough side, but a combination of powerful, cheap drugs from China and the impact of the pandemic have really given the area a gut punch to the point where it is not a pleasant place to be after hours... downtown at night is something you have to put up with if you go to a Jets game, it's not part of the appeal the same way it is in New York, Toronto, Montreal, etc.
By contrast, the Bomber stadium is in a relatively quiet suburban area where you don't really deal with those perceived risks.