I am currently in the Phuket sandbox waiting to get back. Singapore was plan R but then moved to plan S with all the changes.
You should get the Swiss pass within a few hours if you apply during their work hours.
The VTP for Singapore will be almost instant but if you are booking for 2 people, make sure you log out or use a different platform as I did mine on my laptop and did my wifes via the phone and you know it will work as you should get the VTP within seconds of clicking submit.
No need for hotel booking, insurance or flights to get your VTP, you just need to make sure its a recognized hotel for test and release and its post code.