Yet as things have unfolded on the global stage, it is perfectly possible to argue that South African rugby is indeed the best when it comes to World Cup competition. Two victories in four attempts, together with a podium finish in 1999? It is some record.
Luyt's "tired and emotional" outburst - the description offered at the time by the urbane Springbok manager and former national captain Morne du Plessis - was, and remains, hard to forgive, but there are many oval-ball aficionados on the high veld who believe to this day that he was making a semi-reasonable point, albeit in a wholly unreasonable way.
A simple arithmetical formula shows that Australia, two-time winners of the tournament, and New Zealand, desperately seeking a second title to go with the one they claimed on home soil 24 years ago, are the best-performing countries at World Cups.
England, champions in 2003, are close behind: only they and the Wallabies have featured in three finals. Then come France, masters of the unexpected, and then, two tournaments light on everyone else ... the Boks.
If we take the average of their performance across four tournaments and apply it across six, they are well ahead of the All Blacks and Wallabies.
By common consent, they were not the best side in 1995.
In pulling together such electrifying attacking talents as Lomu, Jeff Wilson, Andrew Mehrtens and Josh Kronfeld, the All Blacks changed the way rugby was played: had the tournament been staged a year later, when that silver-ferned vintage had matured and the great Michael Jones had recovered from injury to reclaim his place in the back row, they would surely have triumphed.
Fast-forward to the last tournament in 2007, however, and there was no doubting the Bokke supremacy.
Perhaps only three World Cup-winning sides in history - the All Blacks of 1987, the Wallabies of 1999 and Martin Johnson's red-rose outfit of 2003 - would have lived with them, and of those, England were in decline the night of their victory in Sydney.
Perhaps significantly, no fewer than 18 members of the South African squad in France four years ago will be involved again this month: indeed, the only members of the team that started the 2007 final against England not to be found among the current 30-man party are fullback Percy Montgomery, loose-head prop Os du Randt and flanker Juan Smith.
And while Montgomery and Du Randt retired after that tournament, Smith would certainly have held his place but for injury.
England, on the other hand, have changed utterly. Of the starting XV that took the field at Stade de France, seven - Jason Robinson, Mike Catt, Andy Gomarsall, Mark Regan, Phil Vickery, Ben Kay and Martin Corry - have called it a day.
Paul Sackey is out of sight in Paris, while Mathew Tait is attempting a career relaunch at Leicester.
That leaves six survivors: the wing Mark Cueto, the prop Andrew Sheridan, the lock Simon Shaw, the flanker Lewis Moody, the No 8 Nick Easter and, last but by no means least, the housewives' favourite. Yes, Jonny Wilkinson is still in the mix.
Only three players - the great Wallaby lock John Eales, the marvellous Australian centre Tim Horan and the aforementioned Du Randt, pre-eminent among props of the loose-head variety - have started and won two World Cup finals.
Wilkinson could join that very select list when things come to a head in Auckland next month, as could the hooker Steve Thompson, back in an England shirt (just about) after a brief, bulk-expanding retirement.
But there are a dozen Springboks who fancy their chances rather more. And if they turn out to be the ones who find a way of beating the All Blacks on New Zealand soil, a certain Dr Luyt will no doubt have something to say on the subject.
- Independent