Also keep in mind that due to compounding (keeping these people from infecting others on the plane and at home), the effect extends beyond the people prevented from traveling. You can also speculate that detectable infections are more transmissible during the journey.
After arriving at Valencia, Spain, there was a big line where we had to show the form's result QR code only. Not a single passenger was asked for the covid test.
There is some evidence that some of the vaccines prevent transmissions, but we need more study before we can make a statistical determination.
We know why other vaccines have failed to stop transmission. The reasons those vaccines didn't stop transmission do not apply to the covid ones. However there is a lot we don't know about biology so until we have better evidence no expert will state that the vaccine stops transmission even though many believe it will.
A lot of EU countries require their own citizens of their countries to get a COVID-19 PCR test prior to entry. A lot of times, this has to be paid out of pocket abroad.