Thanks again for the detail. I'll take another look at the blend door, but it's hooked up and seemed to be moving full travel when I had the evaporator out. I watched it close, but it sounds like it's not sealing correctly.
Release the retaining clip and pull the temperature control cable off the crank arm - that moves the blend door.
First, a general automotive tip on this style of clip:
When installing, these clips are great. They are simply pushed straight down - onto the pin/rod/shaft - whatever they are being fastened to. Due to the angle of the locking tabs, they slip on to the shaft easily. Just hold it between your thumb/index finger, line it up with the pin. and give it a little push down. It will seat and lock in place.
On the other hand, when you go to remove one, that's a different story altogether. These clips can be a pain in the ass to pop off. And what's worse, about half the time - when they finally do release - they go flying off into the wild blue yonder and are never seen again.
Treat the clip as if it were a nut - and screw it off. To get it started, apply a little upward force (with a screwdriver tip e.g.) - and at the same time cause it to rotate (fingertips work well). You will see the clip start to climb right up the shaft. After the first revolution the screwdriver isn't even required, the tabs act kind of like a self-threading nut and drive the upward travel.
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With the cable disconnected, the blend door is now able to be stroked easily from stop to stop - locally at the crank arm. Get your head under the dash and twist the crank back and forth vigorously. Listen carefully (or maybe just listen normally - since you are so close to the action). As you stroke it fully left/right, you should be able to detect an audible "thump" each time the door seal hits the flange on either side. If you are able to hear that distinctive sound, you can feel comfortable that the damper is able to seal up tightly against both flanges. It is not unusual to find that the edges of the rubber gasket have been nibbled away by varmints. But no matter how raggedy the rubber seal is, it should not have very much effect on mixed air temperature.
The problem might be that the control cable is not adjusted correctly and is restricting the blend door from going to full cold. Check for proper cable stroke like this:
With the crank/cable still disconnected, rotate the blend door to the fully cold position (CW) and hold it there. Make sure the temp setting is all the way to cold at the control panel and the other end of the cable is secured to the bracket as it would be for normal operation:
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While still holding the damper tightly against the heater core flange, bring the loop at the end of the cable over close to the crank pin. Note the distance between the loop and the pin (if any). Be sure to do this without pulling on the cable in an attempt to close the gap. The cable is pushed out by the lever and the lever was moved to the coldest setting. So, under real conditions that is as far as the cable can be extended. If there is a gap - and the cable is reconnected to the pin - the blend door will be pulled away from the flange on the heater core side. And, depending on the degree of opening, that will allow some percentage of incoming air to be reheated.
That is just one possible cause for reheated air be able to mix with the cold air flow - with the temperature setting on cold. But it is a good place to start. If do you find that the cable is pulling the door away from the full cold position, adjustments can be made at both the cable end and the mounting bracket. Both use slotted bolt holes for mounting.