It would help to know what effect(s) you were applying to get the thickening at the bottom.
Scale Strokes and Effects scales the parameters of strokes and vector effects, and then runs the effect with those larger values. Parameters of Photoshop-based raster effects such as the Blur and Texture effects cannot be scaled, because the Photoshop plugin API does not support the concept of an effect having a scale the way the Illustrator plugin API does.
A very reliable way of preserving appearance through scaling operations is to freeze all effects by applying the Expand Appearance operation. (If the scale is non-uniform and the object has thick strokes, you may also want to expand the strokes to fills.) But of course then your effects are no longer live.
If we knew which effects you were using we might be able to tell you what the best way of preserving that particular effect would be.