How does an unbalanced reg make you use more gas?
You use what you use.
Besides that, if someone is diving deep enough when the tank gets low enough to begin feeling resistance (also using an unbalanced second stage) then they need to rethink their dive plan and gas supply choices. If you are breathing a tank down that low then you should be about finishing your dive and at your safety stop. For some people an unbalanced reg is a great idea; the ones that have trouble remembering to look at their air gauge.
Beyond that, all you have to do is pit a high quality pneumatically balanced second stage on an unbalanced 1st stage and it will breath all the way down to zero with little resistance.
If you dive a high performance adjustable second stage on an unbalanced piston, you will find that performance drops significantly over the entire pressure range.
In magnehelic terms it goes from being a 1.1" reg to a 2.3" reg ( with an IP that ranges from 145 to around 125) unless you unload the spring tension with the adjuster. And it happens throughout the tank pressure change.
As someone who has spent a lot of time doing this, with a couple of Atomic Second stages on MK2 first stages, on all kinds of dives on all kinds of depths, (because that is what is on my sidemout tanks) you are specifically incorrect about this part. It is brutal switching to a non-adjustable balanced second stage from one that is properly adjusted to match the current IP of the unbalanced second stage, and immediately obvious.
"Beyond that, all you have to do is pit a high quality pneumatically balanced second stage on an unbalanced 1st stage and it will breath all the way down to zero with little resistance."
No, the breathing resistance (unless you unload the spring with the adjustment knob) will continuously increase to a fairly badly performing reg. Because the IP falls continuously throughout the dive and thus the cracking effort continuously increases.
Most people just get used to the slowly increasing cracking effort throughout the typical dive.
If you have three or four first stage second stage combinations like I often have on extended sidemount dives, so you do not just get used to gradually worse and worse performance, the effort on an unbalanced piston first stage becomes really obvious, and only bearable with an appropriately setup adjustable second stage
Appropriately setup in this case means breathes low effort at low IPs, and leaks on a full tank unless the adjuster knob is all the way in to give enough spring tension to stop the leak from the higher IP.