Honestly, whatever you think of booing your own team.. You'd think Spurs fans were the only ones to do it., We aren't.. It's modern football culture nowadays for the crowd to reflexively boo their team at the end of a defeat. I maybe don't like how ubiquitious it is. But it's how it is.
Crystal Palace supporters.. Who are seeing the most glorious period in their history, have booed at the end of a home defeat. I see no other premier league teams in revolt against their own fans.. They just get on with it..
So when we see a Spurs team who for the last 14 months at least has been the worst performing Spurs side in many of our living memories.. Booing, in the modern football climate cannot be a shock to them. Surely.