None of the articles say that the SNP has given up the ghost on this - there are self-contradictory statements in all the articles:
The BBC
" . . . the government said it was still "committed" to updating the law so that trans people could get a gender recognition certificate without "unnecessary stress".
The reforms had faced criticism from some quarters, including prominent SNP politicians and some government ministers, over how they could affect women-only services.
The government had been seeking to "build maximum consensus" around the plans."
www.bbc.co.uk/news/uk-scotland-scotland-politics-52119865
The Times
"The reforms to the Gender Recognition Act have been paused and will not resume during this parliamentary term, which is due to end by the Holyrood election in May next year."
www.thetimes.co.uk/article/389df99c-7460-11ea-be30-097bd8237f0d?shareToken=4d085f9f296340f4b916a8c4ec162413
The National
"Dey said . . . ministers will consider if these bills can be brought in the next parliamentary year, which is due to begin in September."
"Fellow Scottish Greens co-leader Patrick Harvie said: "Everyone will understand that neither the Government nor Parliament can carry on with business as usual in midst of the current crisis.
"However, it's deeply regrettable that progress will be halted when it comes to the environment, people's right to food, animal protections and not least the rights of trans people, for whom overdue legislative reform has been long promised by all parties."
He added: "We expect Government to deliver on their commitments when possible and appropriate, and will explore with all parties what can be done to achieve more progress."
Looking at the Consultation information, the Scottish Government has given itself plenty of scope to exclude publishing individual responses in their entirety, ie. rather than redacting them:
www.gov.scot/publications/gender-recognition-reform-scotland-bill-consultation-scottish-government/pages/3/
1.11. Where respondents have given permission for their response to be made public responses will be made available to the public at consult.gov.scot. Before publishing the Scottish Government will need to check that responses do not contain material which:
Raises concerns about data protection (for example, a response which gives personal details about the person responding to the consultation or about another person);
Raises concerns about copyright (for example, a response which encloses an academic article which is or may be subject to copyright restrictions);
Is potentially defamatory (for example, a statement which could damage a person’s or an organisation’s reputation);
Is offensive (for example, contains transphobia or misogyny, uses swear words or contains language which is derogatory about an individual or a group in society);
Contains references to on-going court cases.
1.12. We will analyse all responses but we will not publish responses which contain material outlined above. Therefore, a response which raises concerns about data protection or raises concerns about copyright or is potentially defamatory or has offensive material or contains references to on-going court cases will not be published.
1.13. Following the closing date, all responses will be analysed and considered along with any other available evidence to help us. An analysis report will be made available. The Scottish Government’s intention is to introduce a Gender Recognition Reform (Scotland) Bill into Parliament during this current Parliamentary session (which ends in 2021).
Would any responses "rejected" for the above reasons still be available via FOI Request if respondents had said they were happy to have them made public?
It could give an undeservedly bad impression if an organisation or individual was listed as having responded but their response was omitted from publication.
1.08. If you respond using the consultation hub, you will be directed to the About You page before submitting your response. Please indicate how you wish your response to be handled and, in particular, whether you are content for your response to published. If you ask for your response not to be published, we will regard it as confidential, and we will treat it accordingly. The names of organisations responding to the consultation will be published.
1.09. All respondents should be aware that the Scottish Government is subject to the provisions of the Freedom of Information (Scotland) Act 2002 and would therefore have to consider any request made to it under the Act for information relating to responses made to this consultation exercise. All respondents are also asked to remember that this is a government consultation process and no matter how strong your views we ask that you use acceptable language to express them.