Yes, it was 2001-2002.
And despite the fact that it was pretty used, and had a series of other problems when I bought it, this wasn't one of them. There was a vibration while accelerating abruptly, and it was due to the axle a.k.a goday. Yours can't be goday.
Then there was another EXi I had in hand, didn't experience this problem in that EXi neither.
The only known problem this model came with from the factory is the slight pull towards left. So I believe what you are facing is purely specific to your car only.
I'm pretty sure swapping the wheels will solve your problem. Moreover, its a free solution, so I would try that first to cancel out the possibility of wheels being the culprit.