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You want it to work the same on all images, that is how it attains scale invariance (though it does adjust number of octaves given the image resolution). Other things you could try include not using the default parameters and instead trying to find parameters more suited to your use case. However, the best algorithms and methods are those that you don't need to adjust parameters to achieve useable results. The default SIFT parameters are probably chosen with general applicability in mind.

You want it to work the same on all images, that is how it attains scale invariance (though it does adjust number of octaves given the image resolution). Other things you could try include not using the default parameters and instead trying to find parameters more suited to your use case. However, the best algorithms and methods are those that you don't need to adjust parameters to achieve useable results. The default SIFT parameters are probably chosen with general applicability in mind.mind. If you haven't read the original SIFT paper, I suggest doing so, it is easy to digest.