AV1 competes with VVC. AV2 will be competitive with h.267
But to be honest, video codec have gotten so good these days, I just hope that we get a reasonably fast open-source encoder. AV1 and HVEC can already turn a 50Go bluray into an almost visually lossless 5~3Go file.
And H.267 ECM is miles ahead of AV2. There are not even in the same category as AOM has stated AV2 intends for 1080P and efficiency. While ECM at its current form is 50x to 100x slower than VVC encode, and 8 - 10x slower to decode. I am not even sure if it will ever be useable.