Yes- the center crosshair point of aim does not change when you adjust the power... doesn't matter if you are on lowest power or highest power.
What does change are the subtensions (the reference points below the center crosshair) as you change magnification. (if you only have a duplex reticle then this doesn't apply). But if you have a reticle that has different aiming points- be it a mil, moa, or bdc- then those additional aiming points and wind holds are only correct at one magnification.
Think of it this way- if you are looking at a target and from top to bottom it covers 4 moa lines at max power.... now you power down. Because you decreased power the target now appears smaller- but the reticle did not change so it now only covers 2 moa lines. That is how a sfp scope works... if it has a .2 mil reticle set to be correct on 20x then those reticle marks will actually become .4 mil if you adjust the power to 10x.
FFP changes the size of the reticle as you adjust the power- so if you are looking at a target that is 2 mil on 20x and zoom down to 4 power the target would still cover the same 2 mil on your reticle.
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