Leinster opens its campaign against the lowest-placed Premiership club Bath on Saturday.
Four-time winners of Europe's premier title Leinster want to join Toulouse as five-time winners.
Lowe told the Daily Mail Leinster wanted five titles and involvement in a planned world club championship.
That had its appeal to the former Tasman star, especially if it meant coming up against New Zealand's Crusaders.
"I hate the Crusaders, just to put it out there. I grew up in the Crusader region, so it's a funny thing for me to say. I don't hate them as a people. I just don't like them as a franchise because I've played against them and lost against them so many times.
"You hate them because they're so good," he said.
"They've been so good for so many years. They've won numerous titles back-to-back, so the hatred is only because they're so, so good. That's how I would love to be seen at Leinster," he said.
Lowe has won over some Irish rugby fans with his performance against his countrymen.
"It's a fickle world. What you find is that you get built up all the time and then chopped down – that's the nature of the beast. That's professional sport.
"It doesn't matter what sport is; as soon as you slip up, they'll jump on you. I will ride the wave as long as I can and try not to make any mistakes, then they can be on my side. That's the plan," Lowe said.
The win over the All Blacks has been the highlight of his career.
"To be able to play against my country of birth, who have always been the team to beat. It was an amazing experience and something I will never forget," Lowe said.
Ireland achieved its win by playing positive rugby, he said. That was in contrast to the negative rugby South Africa was playing. The world champions were not playing rugby the way it should be played.
While there were times to be pragmatic that should not become excessive, he said.
"When we played the All Blacks, it was a dry day so we could keep the ball in hand, and everyone wanted to play a little bit. We played a good brand of rugby and kind of beat them at their own game.
"We know that we have the skill-set and the desire to play like that. We are going to kick the ball sometimes, but we know we can get teams that way too – with nice shapes and playing out the back. It was a nice way to win," he said.