A bad coolant temp sensor can cause that yes, but so can a lot of other things. I'd test the temp sensor for resistance...there should be something in a haynes or chilton's manual about a testing procedure.
If the coolant temp sensor in the water pump is bad or giving incorrect information, then yes that will cause running issues. The coolant temp sensor in the head doesn't report to the PCM and as such isn't going to affect anything as it only sends output to the gauge cluster.
I just finished replacing the water temp sensor and the electrical plug end in the water pump. No change..... Still stumbles and misses, acts like its flooding out. I wanted to try and do this myself but I guess I will have to take it to a shop.
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