I recently received my Pass Sanitaire (thanks to the great input from other folks in this forum), and I was pleasantly surprised to learn that the QR code is compatible with the Swiss Covid Certificate smartphone app.
I believe it's expected that the two certificates would be accepted by each country, but I just learned this first hand (I scanned my Pass Sanitaire QR code with the Swiss Covid app and now I'm covered in both countries).
Just wanted to pass this along in case there was anyone trying to get both certificates, or if someone was struggling to get a Swiss Covid certificate with upcoming travel.