To chime in again, with a thought-
This topic is relative to your specific shoes.
Are we talking something in the $200 range or something in the $800+ range?
There is a world of difference in the quality of the leather and the tanning methodology between those two ranges of shoes. One will be a chromium tanned leather that is functioning with a largely painted on type of dye finish that is then buffed hard to shine up. You will see this as the corrected grain leather looks a bit too flat and shiny. There is nothing inherently wrong with corrected grain leather...but there is no sense in putting in real effort as they are designed for mass fast production, not longevity. You buy new ones and toss them...
If we are talking vegitable tanned leather that is used in higher end shoes...that's another animal where you would want to go the extra mile and make sure they last a lifetime...which they can if treated well. Removing old polish, cleaning them, conditioning the leather, using shoe cream, and finally a light polish...plus the normal not wearing in the rain, drying between wears, and so on.
Saphir makes everything you need to do all of the above...but I wouldn't invest time in cheap shoes beyond some Kiwi and a brush.