Draintile is always put on the outside around here. It may only get put on the inside in an older home as a repair to get the water out that is coming in around the footing which saves them from digging out around their entire foundation. It has always been the usual practice to channel the tile into the basement where the sump pit is to control the pit during freezing weather and also to serve as a basement drain should it flood from a water leak. Some newer homes (depends upon the builder) are having the sump pit put outside now in a pipe well or the window well and as long as they are covered they won't freeze but they don't give the basement protection from a pipe break but they don't have to worry about the pump noise and a flood from pump failure.
They should not be concerned about a sump pit with a little water in the bottom as there is always a lower limit on the pump. These pumps do have a life span of 10 to 15 years depending upon their use and like a car timing belt/chain, you want to replace them "before" they go out on you.