careful on definitions here too. Rimfire scopes are simply a description of scopes with a closer objective focus. Adjustable Objective focus scopes are normally suitable for both. I have AO on almost all my rimfires. Best value for money would be the Nikko Stirling AirKing. Note also 800 fps and over spring airguns will damage both rimfire and centrefire scopes. The vibration recoil on these is nasty so any scope that is designed for Airguns should cope well on rimfire.
In saying all that, the comment about the flyers being ammo is more likely to be a major part of the issue. And Parallax will be more pronounced with higher magnifications. On 3x it will be negligible but on 9x it will be more dramatic.
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