The only thing this has to do with "The Woke" is how CEOs of payment processing companies are abusing their power but claiming that they are helping people by doing so.
Don't get our enemies mixed up. It's not the people who are complaining, it's not netizens, parents, feminists, etc. It is primarily Visa, Mastercard, Paypal, who holds the power.
Collective Shout itself is certainly an Australian activist group with strong ties to evangelical groups, but they hold no power themselves. They've written letters to Visa, Mastercard, and Paypal telling them that their "reputation" is being harmed by allowing this content, they then get them to sign a letter written by Collective Shout, and Collective Shout then sends that letter to companies like Steam and Itch.io. Without those signatures, Collective Shout holds no power.
Co-Signers and supporters of Collective Shout include Evangelical Groups such as NCOSE and Exodus Cry, and TERF groups such as FiLiA and CATW (ALL anti sex work, anti trans, anti porn, and anti civil liberties.) FiLiA claim to be feminist groups, but they are primarily evangelical and should rather be referred to as "women only groups"