On second thoughts, I notice that the Commons Liaison committee does say they will look at:
• Matters of public concern: To consider matters of public concern where there is a need for accountability to the public through Parliament, including the actions of organisations or individuals with significant power over the lives of citizens or with wide-reaching public responsibilities.
committees.parliament.uk/committee/103/liaison-committee-commons
That seems to be summing up exactly what is going on here- because it is a culture war, which goes well beyond issues of the GRA.. into threats to free speech, to freedom of expression, into genderist belief being taken as a justification for harassment, for women losing their usual paid work, for NHS and private doctors prescribing by ‘affirmation’ ie children being given experimental treatments with permanent effects that they can’t consent to (by any normal understanding of consent), for specific harms to the lesbian community, for specific harms to detransitioned people, into organisational/regulatory capture where men’s needs are centred and which refuse to recognise the needs of women as service users or staff.. into our national statistics no longer being properly collected about women with long term effects on future policy, into kids being taught genderist beliefs messages in schools as facts and losing access to single sex toilets, into Women prisoners being sexually assaulted in prison, into women’s competitive and/or contact sports being ruined by people with male bodies competing in these, into women and girls overall being less free to participate in normal life because of loss of single sex spaces, into normal standard safeguarding rules being ignored and so on..