The EU also has universal healthcare, maybe you should ask for that as well. Yes they issue recovery certificates and those grant the right for EU citizens to travel within the EU. This does not mean that all EU governments treat past cases the same as vaccinated people. Many countries within the EU have mandates, especially for healthcare workers. So far the CDC says that those with past cases have some protection, but they still get re-infected at twice the rate that the vaccinated do. Omicron seems particularly able to infect both groups. Right now getting vaccinated seems to provide more protection for both groups. There are unanswered questions and as more information comes in the picture may change. Right now there is a crisis and there is no real reason not to get vaccinated. It may be like having an AAD. You probably don't need it, but you will drop the $1200 anyway because it is best practice. Getting people vaccinated is best practice in this crisis.
We need all hands on deck. Many people are suffering from other conditions because the hospitals are jammed. We can sort out the best vaccine regime later when we have more data. Clearly one dose followed by a second in 3 weeks and a third in 6 months is nothing more than an estimate. And so is the effect of prior infection. We want to do our best, it is not time to look for the easiest thing that might work. It is time to pull together and do everything we can.