Ranged champions can utilize their team better because their allies can help them make distance

Distance is generally what keeps ranged champions safe and able to do damage consistently-- a lot of their power budget is tied up in their range, so if somehow they are forced into close quarters with a few people then they become far less safe and far riskier. This dynamic is what gives range enough depth to be interesting.

Theoretically, melee champions are never going to be able to utilize their team as well as ranged champions unless a systematic change is made to enable them to do so, and whatever it is it ought to also have enough depth to be interesting.

Here is an example of such a change: Make it so that melee champions are really strong from the front and weak from the rear.

Just like with range, there is a positional dynamic here that makes playing with and against it interesting.

Just like with range, allies can help you keep you in your ideal state by body blocking and using their abilities to keep you from being flanked.

Just like with range, you have the opportunity for skill expression by animation cancelling your attacks and spells-- except instead of doing so to kite your opponent (orb walking), you do it to keep your facing towards the direction where the next instance of damage is originating from.