If you do decide to flush the heater core I would really consider just using pure water and not a flush detergent.... the reason being is the removal of internal deposits of a 17+ year old heater core has the tendency to create leaks in the hose connections. And on the SVX a heater core leak is horrible news
The heater system is pretty straightforward as far as coolant circulation goes.... so id agree with previous posts suspecting the internal air doors in the HVAC system.
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Chris
"A person convinced against their will, is of the same opinion still"
New?? Find the downloadable SVX Online Service Manual
Here
RECOMMENDED READING for newer SVX owners
Here some cool info if not fully accurate.