I have a follow-up.
I have come to believe the whole Schengen tourist visa business, for people from countries Europeans don't like, is a racist scam. The actual purpose of the process, at least in the countries we have dealt with, appears to be to find excuses to keep certain applicants out, especially Africans. They do not want Africans on their continent, but they want to virtue-signal and hide the truth, so they encourage people to apply, and then they find any excuse to reject their applications.
We went to Greek consulate. We brought all sorts of things they hadn't asked for, in addition to the things on their list. We thought we would try to be prepared in case they tried to sandbag us. Then they asked for other things we did not have with us. They would not let us sit down for an hour in their waiting room to download things, and they would not let us drop a missing item off the next day. We were able to prove we had many, many times the assets needed to pay for a brief trip, but they suddenly decided they had to have tax returns, which I don't carry around with me.
We had paid hotel and Airbnb accommodations for every destination, but they demanded to see tickets to show how we would get from country to country inside Europe. They said airline tickets were better proof of where we intended to be than hotel receipts. That's idiotic, since refundable airline tickets can be changed very easily, but a good hotel booking in a peak month is like gold. If you have one, you will do anything to hold onto it.
I went home and requested refunds for all our bookings, and now we are giving Switzerland a shot. Greece said we could try again, but my feeling is that if you're going to suffer like this, it should be for the best possible destination, not Greece, which is perfectly fine, but not on the level of Switzerland.
We are applying mainly for the purpose of getting my wife's biometrics into the system. The Swiss are very responsible, so even if they don't accept us, I think they'll obey the law and keep her biometrics. The other countries we applied to spat on the law and threw her fingerprints out, so we know they never actually looked at her applications, although they did encourage us to give them money for doing nothing. They just took her papers, set them aside, lied to us about processing them, and threw them out after rejecting her.
We may apply for a Japanese and/or Taiwan visa simultaneously with the one for Switzerland. Maybe if the Swiss let us in, we won't even go this year. At least we'll be in the system.
I got some information from an Indian who has been through this mess many times, and he told me the tricks to watch out for, so maybe we'll eventually see Europe. He said I should give my wife a sponsorship letter and notarize it, which is moronic and has no legal significance, but I will do it next time. He said I should bring our marriage license. Crazy. As it happens, I did take our license to the consulate, because I was paranoid.