BF – if you are running a 36 on your cassette and a 22 up front on a 29er then you are moving forwards 16 inches per pedal stroke.
With a 1×11 the cassette runs a 42 on the cassette and say a 32 up front, again on a 29er, you would then be moving forwards 20 inches per pedal stroke.
So the answer is yes.
If running a 22 front/36 rear then it is 25% harder.
This is a little misleading though.
I always found the old gearing went down too low, making the front want to lift and making every pedal stroke a fight against inertia. many times I failed on techy climbs due to believing I needed the easiest gear.
The ratio that the 1×11 or 1×10 with a cassette expander gives is a great gear. It is much better for techy climbs and just seems to deliver the power better.
I have not walked anything since going over to a single chainring and I have been up some real humdingers…
As for whether 1×11 is worth the extra expense…. not to my mind.
Overall, I love having just the one chainring.