That 4.4k is too low. Clean the board up around where you soldered first with some alcohol and Q-tips in case some solder splash or just something weird there is conducting a little bit.
If it still acts up, pull the Left Stick back off the board and test to see if the motherboard still shows 4.4k or not. If it's not 4.4k anymore, check the stick and see if it reads the 4.4k, and if it shows any Resistance when not pressed then the button in the stick is the issue.