This peaked in 2021 as the two sides fought bitterly for the constructors' and drivers' championships, with Mercedes edging out the team battle but Max Verstappen and Red Bull pipping the Silver Arrows and Lewis Hamilton to the drivers' title.
This time around, though, Horner and Wolff not being called out by one another, but by another team boss.
McLaren Racing CEO Zak Brown is the man laying down the gauntlet this time around.
On X, he semi-seriously challenged his fellow team bosses to a race to discover which of himself, Horner, Wolff, and Williams team principal James Vowels was the fastest driver in response to images of all four in racing gear.
Whilst the quartet are used to managing an array of drivers, they all have experience behind the wheel of a racing car.
Brown raced professionally for a decade, including in IndyCar feeder series Indy Lights (now Indy NXT) and British F3, and continues to take part in historic events such as the Grand Prix de Monaco Historique and the upcoming Estoril Classics weekend.
Wolff's racing career never quite took off either, though has recently kept his skills sharp racing his two drivers, Lewis Hamilton and George Russell, in Mercedes cars.
Horner's racing ambitions curtailed at the F3000 stage in 1998 as he struggled for speed and steel against his rivals. His recent experience in Sebastian Vettel's RB8 at Goodwood was the first time he has driven a single-seater since then.
Vowles, meanwhile, may be at a disadvantage, having taken the educational rather than racing route into motorsport. His Masters' degree in Motorsport Engineering and Management has served him superbly throughout his distinguished career, but it may not hold as much value in the cockpit.
Whether a race between the four team bosses will materialise remains to be seen. It would certainly make for some entertaining on-track action and, inevitably, the accompanying off-track trash talk.