Leinster are the sole 100 per cent team left in the 10th anniversary season of the Heineken Cup - and only three teams have come out of the Pool stage with six wins from six since the six-match format was adopted in 1997.
Wasps did it in 1997 / 1998; Bath in 2001 / 2002 and Leinster themselves in 2002 / 2003.
However, none of them went on to lift European club rugby's most coveted trophy, Leinster going out to Perpignan 21-14 in their Dublin semi-final.
They made it five from five last weekend with a late rush taking them to a 27-23 win at Bath Rugby but Irish international wing Denis Hickie declared: "We won't win the Heineken Cup playing like that - and everyone in the Leinster team realises that.
"You can't just put that performance down to a bad day at the office because that doesn't give the credit to Bath that they deserve for their great performance.
"We know we can play a lot better, as we did against them when we beat them in Dublin, but it was pleasing the way in which we dogged it out and got the result in the end."
Bath Rugby coach John Connolly was as blunt as ever in his assessment of Leinster's title hopes and underlined Hickie's fears.
"They will certainly be in the mix, but I would be surprised if Leinster went on to win the Heineken Cup," said Connolly. "I think teams will take it to them in the forwards and find them out. They have wonderful backs, but they must get parity at scrum and line-out if they are to function. They've still got some work to do."
Of all the positive elements that Leinster were able to take out of the game - the first team to qualify for the Heineken Cup quarter-finals, maintaining their position as the only unbeaten team in the tournament, one win away from a guaranteed home draw in the last eight and an 11th victory in their last 12 European outings against English opposition - the fact they were able to come back from the dead when all seemed lost was the most heartening for coach Declan Kidney.
"This competition is a bit of a roller-coaster ride, we know how much work we still have to do," said Kidney. "I've seen a lot of nonsense written about Leinster and what they could and should be achieving. What we need is greater consistency.
"When you look at this tournament it is always those sides who show the greatest consistency who keep coming through - Toulouse, Stade Francais and Leicester Tigers.
"We always talk about playing for the whole 80 minutes and what this game proved is that Leinster are getting some stickability about them that is going to be a nuisance to other teams.
"We dug a big hole for ourselves the previous weekend against Munster that we didn't get out of here. Here we did.
"With six minutes to go, and with the way we had been playing in the previous 50, I would have settled for a bonus point in defeat. If you judge a team on results then this was a good win for us, but everyone realises that the performance wasn't perfect."
