I would reckon that when discussing flying premium classes, specially F, that status is more or less irrelevant to the experience. Now sure, if I have, for example, ONE status and flying a OW carriers J product, then I can access F lounges (where available) eg: QF, CX in HKG etc... that will enhance the experience to a degree. However if I'm flying F, I get that anyway. Further if I have no status flying SQ J, I get pretty much the same entitlements that a SQ*G would have, and better than a non SQ *G would have (specially in SN).
with the example of flying F LAX-MEL and then internal flights in J as SFO777 did in the *original* report, status is irrelevant to the argument in my view - I can't think of a single instance where he would have received more or a different experience with or without his BA Gold (OWE) status. Happy to be corrected here, but I don't think so. Domestic lounge access based on CoS and in LAX F lounge, again, through CoS - all the same.
With the newest report, yes the status would mean that he would have had access to the international F lounge via status, which is an absolute step up from the J lounge, but other than that, and possibly a slightly better seat selection availability on the 380 (ie "Emerald City") more or less the experience, from that point of view, would be the same without status (I'm ignoring things like extra bag allowance as most people would fit in just fine with the J allowance irrespective of any elite extras).
I certainly have been thinking of this recently in terms of an upcoming trip where I do nt need status credits or anything from the timing of the trip, so I'm freed up more or less to consider other things such as product, schedule, price etc and I'm looking at SQ J or MH J or possibly QR J and while I have OWE and *G status, those won't gve me much extra bar lounges (and *G gives me less when it comes to flying SQ J anyway) so I do contend that status is far less relevant when discussing the premium product.