There could be a couple of long videos about this. Most of the time, it is a drying issue, and the wetter the wood is, the more the difference will be. Generally the end grain will shrink very minimally, and the side grain shrinks a lot, so a 1/2 inch thick bowl may dry out at 1/2 inch on the end grain, by 3/8 on the side grain. Fine for warped bowls.
If you are trying to go for very thin bowls, less than 1/8 inch, variable wall thickness doesn't look good. This again seems to follow the pattern of end grain thicker than side grain. If your finish cuts are with a gouge and rubbing the bevel, there is always a bit of a bounce, twice each revolution from cutting with/against the grain. If you use a shear scrape, then since it does not use the bevel rub, you end up just nibbling off the high spots. So, after reversing, you true up the outside of the bowl again, then start on the inside. You have to finish turn in stages with the shear scrape. If you ever master the bevel rub cut (the bevel should rub the wood, but the wood should not know it), this reduces it some what, and you are not causing the bowl to distort as you turn by pushing too hard, I still find the shear scrape to be the better finish cut.
Hope that helps some, or raises a few more questions...
robo hippy