Obama supporters did the same thing...maybe not to the same extent, but they did it. They were okay with Obama's drone strikes, but hate them from anyone else. It's a case of trusting "your guy", tribalism.
I doubt, however, that you'd see this from Hannity...
MSNBC's Rachel Maddow hits Obama's 'Orwellian' drone program
I, for one, think President Obama's drone war was one of the lowest point of his presidency - along with failing to prosecute the war criminals and torturers of the previous administration.
However, Seawytch, it does matter whether a president has shown himself to be mostly truthful and trustworthy, including on his assessment of national security initiatives, or whether he lies about everything like it is sports. So, your equivalence doesn't walk on crutches, it is perfectly bedridden, and I doubt it's even alive.