Yea thats why my 2amp samsung charger on a kendle fire cable, ver thin. will charge if my screen is off but if it is on or I am wifiteathering it wont keep pace but same charger, same phone, thick lg charger cable, will charge no matter how much power the device is using.
And with my jambox cable by jawbone with 2amp samsung charger, it would take 9 hours to charge fron 20% while on with screen off
And on the lg cable and 2 amp samsung charger, like 3 hours while on with screen off.
Vut yes it dose have more to do with the charger, if the amps arnt there to begin with the cable dosent matter.
But your chain is only as strong as the weakest link.