The hoses on the right side of the canister,the small one(#1 hose) is the fuel tank vent, the large one is the "#4 hose"(below the #1 hose),it goes to the EVAP purge control solenoid.
The #4 hose needs to be plugged so as not to suck in dirty air into the motor.
Hose's #2 & #3 are connected to the canister as you know & are completely eliminated.
#2 is the open air -to-canister hose, #3 is the canister drain.
I would suggest plugging the #4 hose in lieu of pulling it.
It is a serious PITA to reinstall if the canister is to be reinstated.
If you do choose to pull the hose then yon can Cap the EVAP PCS & or pull the EVAP PCS & plug the Throttle Body Purge Hose.
FYI: I don't know if you will get a check engine light though if you remove the solenoid. I left mine intact.