OP: "I was wondering if in future such articles might include a little more advice." You're implying that the article was not comprhensive enough - in most people's book, that's a criticism! You can't say you were just asking for it to be better in future because we're not the people who will be writing future articles.
I think Captain Paranoia's definition of retreat/different route or when to carry snow tools is very diferent to mine.
"We tried climbing up a clitter slope to find a crossing higher up with no success. As time was getting on we abandoned the walk and started down the slope. The slope was steep enough and rocky enough with loose scree that we had to use the heather as a ladder to help us down. By the time we got to the bottom of the slope I was exhausted"
"we don't get much hill walking in as we're from the London area,.....it wasn't our first trip to the Lakes, indeed we go every year"
I wouldn't consider continuing on and climbing up onto difficult steep scree and heather to be a retreat or a suitable alternative route for people with the experience of mountains that he has outlined. And by his own account it doesn't sound like it was!
As for ice axe and crampons: many people carry their crampons inside their sacks. And yes, many of the people who you will have seen out will not have had snow tools with them but as you have correctly said - they probably should have, even for the ice paths. Mountain Rescue are getting busier every year and their statistics from 2008/2009 show the makority of their call outs that winter were to recover people who had slipped on icey paths, the majority of the injuries were lower leg injuries, breaks and sprains from slips on icey paths. What you see every weekend in winter is what MR refer to as Sheep syndrome - they're doing it so it must be OK. Lion syndrome - accidents only happen to others, I'll be alright. Tunnel vision syndrome - we've travelled all this way, we've walked this far, we're not turning back now. MR coined these terms after interviewing recovered victims and analysing the findings.
"As for taking ice axe and crampons I don't know how to use an ice axe as I don't really expect to be walking in conditions where it's necessary, and if it becomes necesasary I'd turn back."
In the light of the statistics and your recent experience you may want to revise what you believe to be the occasions where proper crampons are neccessary. You most certainly did not turn back.