That is, when confronted with the concepts of mechanical vs biological webshooters (and webbing) which is the easiest to explain?

Man bitten by spider and gained powers including ability to shoot webs from his writsts

Man bitten by spider and gained powers. Decided that wasn't enough. Luckily man was very smart so decided he could create a formula that was similar to a spider's web to add to spider based powers.  Along with creating the chemical compound, he also had ability to create a wrist based discharge unit so small, it can't even be seen under a skintight costume. The man is proven a chemical and engineering genius and goes out to fight crime where his comedic genius is also demonstrated through the use of fantastic one liners. Man fails the elderly aunt who raised and cared for him since weath and fame, he's ignored. Action is his reward. Sounds like an adrenalin junky who shirks off family responsibility. You'd expect more after it is basically his fauly his uncle died...

I have read that Sam Raimi's decision for giving Peter organic webshooters is that Raimi -- seeing himself at the same age as Peter -- could not have invented mechanical webshooters.

I suspect that a stronger reason was setting up the scene where Peter is trying to figure out how to discharge his web, going as far as shouting Shazam! Ask most civilians and they will cite this scene as a favorite, with gals and guys agreeing.

It wouldn't be the first time a writer/director/producer bends the internal logic of the narrative for the sake of feeding a single plot point that strikes their fancy: In Superman Returns, the writer was so enamored of the plot point of having Clark discover that he had a five-year old son that he had Clark travel in space for 5 years. How stupid/irresponsible would the Last Son of Krypton have to be to abandon the planet under his care for a half-decade rather than send an unmanned Kryptonian probe that would achieve more or less the same results?

As far as how much organic webbing is actually discharged: in modern architectural architects/engineers use I-beams rather than solid  rectangles of steel because the I-beams -- although having much less mass than their rectangular profiles would if entrirely filled with steel -- provide enough resilience to support the required structual weight.

I find it perfectly acceptable to imagine that Peter's organic web deploys along a molecular structure not unlike a Sierpinski Sieve, which provides enormous load bearing potential while consisting of very little mass. The apparent "weight" of the organic web when discharged is merely illusion.

Lastly, the volume of the web cartridges -- as drawn by Ditko anyhow -- doesn't quite line up with its apparent volume when discharged either. Peter has even made thick shields of his webbing in the past; Unless we are to assume that Peter frequently replenishes his wrist shooters off-camera. We might as well assume that Peter frequently hits fastfood joints off-camera to replenish his lost tissue.

I find it perfectly acceptable to imagine that Peter's organic web deploys along a molecular structure not unlike a Sierpinski Sieve, which provides enormous load bearing potential while consisting of very little mass. The apparent "weight" of the organic web when discharged is merely illusion.

Lastly, the volume of the web cartridges -- as drawn by Ditko anyhow -- doen't quite line up with their apparent volume when discharged either. Peter has even made thick shields of his webbing in the past; Unless we are to assume that Peter frequently replenishes his wrist shooters off-camera. We might as well assume that Peter frequently hits fastfood joints off-camera to replenish his lost tissue.

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PUH-leese!

First, you take us even deeper into the "doing things real spiders don't do" territory, postulating unheard of profile configurations for the webbing -- THEN you dismiss not only the perfectly reasonable assumption that the artificial webbing greatly expands upon contact with the air (much like shaving foam), AND dismiss even the notion that Parker occasionally refills the cartridges without it being shown.

You know, I have never seen Peter Parker go to the bathroom, but I don't feel like I am stepping too far out on a limb if I assume he does!

The ultimate absurdity of this "debate" is that it springs from people (like Sam Raimi) saying it would be "impossible" for Parker to create the mechanical webspinners

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What a killjoy those people are! Might as well say it's impossible Tony Stark could create the IronMan armor or it's impossible for Reed Richards to create all the things he created. Sheesh!