Ashless means it’s sulfated ash free. Which is your non-combustible metals - so, typically your ZDDP/ZDP and any other non-combustible material, such as magnesium.
It will absolutely still carbon up, as the carbon comes from the oil burning.
So alright. Let’s take the 18 gallons. Let’s say an average of 30mpg. Over the course of 200,000 miles - approximately ~6,700 gallons of fuel burned. Or 372 tanks of gasoline, or about 12 gallons of two stroke oil. At on the low end, we will say $35 a gallon for no name brand. On the high end, double it.
That’s $540… to add.. what?
Napkin maff

again. So you’re going to put more carbon into your EGR? To put more carbon down stream? Turbo / exhaust system? To be unburnt in the cylinders and actually carbon up the rings? To prevent some sort of unnamed wear that until a week ago, basically no one cared about, because someone made a video that oh my god, this might* be happening to your engine! Doooom!
Where, there’s zero supporting studies two stroke oil actually helps anything. And I also don’t see any two stroke oils registered as a gasoline fuel additive with the EPA - here:
https://www3.epa.gov/otaq/fuels1/ffars/web-gas.htm
I mean you do you, I want to sell more oil. It’s how I pay the grocery bills and keep the lights on. I’m just providing critical thoughts on “okay… why are you doing that?”