Can I ask a few questions to make sure we know what you have?
You mention Moen but does it have two supply lines going into the faucet and then one line feeding to the pullout?
Point I'm wondering about is where the mixing valve that mixes the cold and hot is located?
Looking at the parts catalog, I see no obvious point where both hot and cold lines would get crimped that would not also make the vanity faucet a problem.
Click this snip to get better view of what I see.
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I feel like anything on the run to this area, like where the slide moves would be almost certain to change both faucets as they are on the same basic tubing run.
We don't have the correct faucet pictured due to the change.
But if the rest of this guess is correct, I would first suspect the cartridge in the faucet body.
Can you see a way to remove the handle, pull the bonnet off the faucet and get to the cartridge? I might guess a large "Crescent" style wrench to unscrew the bonnet and then wiggle the cartridge up?
Maybe hold a cup over the opening and turn the water back on (carefully!) to flush anything that might be hung in the line? But I really suspect a bad cartridge.
Without the cartridge in place, you should be able to get a flood out of the opening, so use care! Maybe a cup and a towel thrown over both to keep water off the ceiling?
![EEK!](https://www.winnieowners.com/forums/images/smilies/eek.gif)
It could be something in the line from base to pullout but that is a pretty straight shot, so I lean toward the cartridge as a problem???
If a cartridge is needed, I would assume the standard big box to have a Moen to fit.