The point I was making was not that a wider core isn't better, it's that you don't put a payload inside the core - you put it inside a fairing
...and the more important thing is that the payload gets
attached to the core. The core is the payload load path.. The wider the core, the larger the potential payload, which of course needs a bigger fairing at some point. In context of a FSH--which is where this particular conversation started--the core, and specifically its ability to carry heavier and heavier loads becomes more and more of the limiting factor.
If SpaceX comes out with some massive fairing and you design your payload for it, then for whatever reason SpaceX has to stop flying, you're out of luck.
100% agree--that's the biggest hurdle for BFR IMHO Its definitely not a build-it-and-they-will-come situation unless its dirt cheap or has competition. Note that Spacex seems to be winning at 'dirt cheap'...
And a larger fairing certainly isn't needed for FH's payload capacity to be useful.
Agree, to a point. FH can potentially eliminate expendable missions, and since those are basically all GTO missions at this point [that are all built to the 5m fairing form factor] fairing size isn't a huge constraint for legacy GEO platforms. FH can also lift constellations (like all the internet ones, which are typically a bit higher than LEO but still low) at a lower price-to-orbit per unit, and its possible to max the mass in the 5m volume. That said, for both of those situations, the 5m fairing is really a design constraint on the form factor--in the case of the constellation, its a super frustrating design constraint that's more size than mass.
Anyway, FH's most practical limiting case is low orbit heavy lift, which is where my whole point comes together: You'd be hard pressed to find a low orbit payload that a) maxes out the lift capacity, b) fits in a 5m fairing, and c) doesn't break the CLA. A wider fairing enables all three of those factors but only to a point, and specifically (IMHO) a) breaks before c) for FH. So when you circle back to FSH, which solves the a) problem, you're left with c) being the limiting factor. So to horse beat my point: FSH is going to be limited by the falcon core's ability to carry a massive load.
Hence, BFR***.
***Or, you know, a million other things...like a super beefy central core...