By which I mean, would most voters support this as opposed to a change in policy to refuse in greater numbers? I honestly can't tell what "the majority" actually wants. I would prefer fewer having seen how things went in Germany thanks to the Merkel wave but I am willing to believe I'm a backwards old boomer and a majority would be more welcoming.
They (UK governments) tend to say they have no choice due to the echr but this isn't true. There are a lot of operational choices they could make (eg sometimes when people are denied entry at the border they are actually allowed into the country for a few days and instructed to report back to the airport when it's time for the removal flight).