Can I use this strap stand for my Katsugi? Could I use the Cross Stand?

Yes. But we don't recommend this for katsugi oke. Please note that okedo daiko and katsugi oke daiko (katsugi okedo) are different taiko made of different materials. So katsugi oke daiko has thinner heads than okedo daiko, it's not recommended to play like okedo daiko and nagado daiko. Otherwise, easily makes a hole on the heads. 

Katsugi oke daiko: https://youtu.be/veT2h5AODC8

Okedo daiko: https://youtu.be/ODmL57bwnsQ