If you are talking the heater hoses, the lower hose that hoes to the head is the hot water feed.
The valve back there is a thermostatic safety valve, part of a USA recall. E30 heater cores have shown a likelihood to fail and dump hot water on the drivers foot.
On the 2002 side I don’t recall which is the hot water feed. My guess is it doesn’t matter too much. Maybe the return being on the heater valve side, that way the valve would be a few degrees cooler. It might last slightly longer.
I like to see your progress as I've thought about doing the same.
Warren
88 325iX
91 318is
95 525iT
73 2002Tii gone to better places after 17 years