I wouldn’t say that, but it certainly was a big one.
The other big thing is that Sega had just burned so many bridges during their surprise gotcha Saturn launch in the US that a lot of retailers didn’t want to deal with them again.
If they had been coming from a stronger position I wonder if they would’ve done better.
But it was a Sony, MS, Sega and Nintendo race. That’s just too many, someone wasn’t going to make it. And as the weakest of the bunch they were the most likely.
As an unknown Microsoft could’ve been, but they got a huge hit with Halo and had the money to push through either way.
Probably true for the US. In Europe, it was very country-dependent. Here PS2 sold simply because it was the new PlayStation, to a public that for the vast majority wasn't even aware there was competition.
This. Thrifty parents with no interest in gaming saw the PS2 and thought "Sony DVD player". The GameCube was merely an expensive Nintendo time sink. To this end my brother and I took out a loan to buy out GameCube but could have gotten the PS2 for free for Christmas - we wanted to play Super Smash Brothers et al that much and knew that we couldn't avail ourselves of the PS2's better-selling titles anyhow due to their M ratings.
As I write this it does feel like both Sony and Microsoft really started to push the whole living room entertainment convergence thing around this time while Nintendo happily stayed in their lane. The same dynamic continues to this day.