I have had both here along with the Grimm. I was a dealer for both but never really sold any Innuos and we parted ways at the end of last year. I remain an Antipodes dealer.
Both are excellent devices. It really depends on a couple things.
1. What software do you want to use? If you like Roon, this is not close. The K22 is the superior device. If you are not a Roon user or actively don't want Roon, then also, this is not close. The Pulsar is the better device. Sense is excellent
2. Outputs matter and you are running a Bricasti device. If you have the network card in the Bricasti, I would argue a K41 running Roon or Audirvana would be top performer as ethernet in is best with Bricasti. I don't know if the Pulsar has finally added the additional outputs beyond USB, but AES is next best input on Bricasti. This is Antipodes best output. USB is not best input on Bricasti.
The Grimm is nice but I found did not outperform the Antipodes running Roon side by side. They seemed VERY similar. Antipodes has a slightly softer sound than Grimm but that was only noticeable difference to me. That said, I have heard that Grimm is at its very best with HQ Player enabled in Roon. I did not test this and have no POV on that.