Apart from being amazed at the size of the Rhinos' replacement half back - he'll never make it, I opined, he's too small - he didn't leave that much of an impression.
The fact he spent most of the second half running hither and thither like the proverbial headless chicken hardly helped.
Even when Burrow scraped into the Headingley first team a year later, I was still sceptical.
And when Leeds won their first Grand Final under Tony Smith in 2005, and people started talking about the man who makes my 10-month-old daughter look big as a potential Test half back, I must admit to thinking the world may have gone mad.
I am now preparing to eat almost seven years worth of badly chosen words.
Because over the last couple of months it has become clear that Burrow is the only sensible choice to wear the Great Britain number seven shirt against New Zealand this autumn.
The other contenders, such as they are, cannot get near the Featherstone-born livewire.
Paul Deacon, Richard Horne, Chris Thorman, Luke Robinson, Jamie Rooney and the rest all seem to have stood still this year, allowing Burrow to steal a march.
I'll stick to my guns on one point: Burrow is never going to be an Andy Gregory, an Andrew Johns or a Peter Sterling.
Those legendary figures were literally born to play international rugby league.
Burrow, in contrast, has grown steadily into the role.
Tony Smith, the outgoing Leeds coach and incoming Great Britain boss, pointed out in the aftermath of their thumping win over St Helens that Burrow has gone from being a fine individual player to being a fine team player.
That assessment is as accurate and succinct as you would expect from a coach of Smith's quality, who should take plenty of credit for educating his young charge during his own stint at Headingley.
I have no doubt that Smith will hand Burrow the half back jumper for the opening clash with the Kiwis at Hull on Saturday week. He practically said as much at Old Trafford.
More importantly, Smith's faith in Burrow's ability is such that he will have the conviction to stick with him if the going gets tough.
And why not?
With the World Cup looming in 2008, Great Britain - and England - need continuity.
And given that Burrow is the best we have, he needs to be given time to settle into the role.

THE New Zealanders arrived in England this week, leaving behind them allegations members of the touring party were involved in the sexual assault of a woman in a Wellington hotel.
Apart from being the last thing the sport needs, after a seemingly endless catalogue of similar incidents in the NRL, it also bodes ill for the success of this tour.
With Tri Nations winning coach Brian McClennan on his way to Leeds, and Ruben Wiki and Stacey Jones retired, new boss Gary Kemble needs to a get a grip, and quick.
If he doesn't, there could be a few more bad results to follow last weekend's 58-0 hammering by the Kangaroos.