Is there a difference in results between Simplifying a geometry by different projecti

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We have geometries in a PostGIS database projected in srid 4326. We need to have these geometries simplified with ST_SimplifyPreserveTopology.

My question is whether this geometry needs to be transformed to a different projection--like 3400 in Alberta, Canada--to simplify it accurately by meters instead of degrees: if simplified by degrees, would it remove points more frequently on the parts of the geometry farther from the equator (because of the way degrees bend around the earth)?

Or would the function remove points in the same frequency and locations no matter the projection, if given the same region as a test?



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