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Mark,

You are correct, that does not look correct. Just to confirm, what vehicle / engine is this for?

 

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If it was a secondary air hose for the idle circuit, yes.

Since this is a water hose, I do not think it would affect the idle. Is there any warning light on the display?

 

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That doesnt appear to be under your intake. That looks like the turbo air feed line. That also doesn't look like a MINI hose clamp. They use spring clamps everywhere I think. For the small stuff anyways. If it's going to the thermostat then you should straighten that out.what engine do you have?

 

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Does look like one of the many hoses that comes out of the cooling distribution thing that gets fed off the water pump tube. Cant really tell which though without a slightly zoomed out shot

 

First pic seems to be a hose just above the tranny linkage. That would be a heater hose from the t'stat housing to the firewall. Judging by the aftermarket hose clamp, someone did a bad job of repairing / replacing this hose. So Mark, how about a little history on this car --- how long have you had it? What were the last few repairs and who did them, an indie shop, a mini dealer, you, a mechanically-minded friend?

As mentioned by iwashmycar, a pic or description of where this hose actually connects would be helpful.

And, no, it shouldn't cause stalling, but as fussy as these ECU's are, who knows for sure.