The bevel edge under a microscope is an incredibly fragile thing. Photographs taken before and after a shave show what looks like colossal damage - the thin bevel is bent and distorted by our whiskers. Stropping helps to realign the bent 'microfin' at the leading edge of the bevel. But all this is at electron microscope level - does it really matter in the real world?
If the microfin is going to be deflected, bent, ravaged, lied to and left heartbroken then it is going to happen as soon as you start shaving. How could it possibly retain the integrety to last to the end of the shave? In poor steels it doesn't. With really tough beards it doesn't and you have to restrop part way through the shave, but in most situations it does survive, and the shave is completed to our satisfaction. What then is the effect of a few soft armhairs? To me it would be like making one shave on your cheek and then giving up, the reason being that the hairs had buggered up the edge.
Huxley is right about the pressure - you absolutely should not apply pressure, rather you should vary your angle of attack and/or rethink your skin pulling approach. I cannot emphasise how important skin pulling is (I hope Rev-O isn't reading this) - if it isn't taut and the hairs lined in the right direction you will not achieve a really smooth shave.
To clarify that a bit, you have to study your whisker growth and get familiar with the pattern. The chin and under the chin especially is hard to deal with - here the whiskers obey no known law of man, but run amok and grow in any direction that pleases them most. To rain ruin on these rebels you have to pull in different ways. If you pull behind the direction of growth they will stand up and be decimated. If you pull in front of them they will lie down and evade persecution. Get to know thy whiskers.
From what I remember, your gorgeous Peerless is a thinner ground blade. These take a bit of getting used to, so I suggest you persevere with the lather shovel for now. The more hollow ground a blade is, the more it will distort - so less pressure is required, both in shaving, stropping and honing. It is a really good steel though and you will appreciate it more and more as your skills progress.
All the Best,
Neil