I agree that that OP has experienced unacceptable ground services for an F product. The CCR is stretched beyond capacity. The point being made is that a true F experience should allow for flexibility in accommodating guests, because capacity is not an issue.
The closest another lounge has come to this situation is the F section of CX's Wing. The result? An even better lounge: The Pier, built to increase F capacity and ensure that any F pax (as well as OWE) are always able to get showers and dining tables.
Of the OW airlines with F it's no secret that BA trails the pack in terms of lounges, on its home turf. I manage my expectations accordingly but wish I didn't have to...