Unlike those countries, the Scottish reforms remove all checks and balances from the process of acquiring a GRC.
I suspect a refusal outwith Scotland to recognise certificates issued here won't work. Debbie Hayton, who has a far deeper understanding of what's at stake than me, explains here why the UK government is likely to have to challenge the bill itself (and interestingly points out that a Westminster v Holyrood battle over this issue may not actually suit Sturgeon, bearing in mind how unpopular the bill is among the Scottish electorate at large):
The UK can’t ignore Scotland’s gender recognition Bill (spectator.co.uk)