I'm just going to plug both ends and drive it. So little coolant goes through such a short hose, it just couldn't be that important. This is a pretty poorly planned vehicle; I'm sure this hose connecting the block and the heater valve isjust another example of poor planning and design by Toyota. 

little PHH we know and love - or are challenged by, as Rich asserts). Had not one whit to do with burst strength over length concerns.