In reply to GrahamD:
> I don't get this 'energy' absorption malarkey on your belay anchors. When did that become a desireable thing as opposed to being connected solidly to the rock ? last thing I want when trying to hold a fall is worrying about being tied on with a piece of elastic. Being unseated from your belay stance because of too much dynamism in the connecting system is not pleasant and does not make anything safer.
There's more to life than swinging trad leads...
The simple answer to your question is when you are doing the falling onto your lanyard, not belaying and holding a fall of someone else. It's fine to be totally strapped to the rock if you are belaying (in fact, as you say, it is often advantageous).
Sometimes, when climbing, I have wanted to attach myself quickly and simply to a single point. Often, it is best to use the rope I am tied in with. Sometimes, this is not the case. These cases exist and are sensible, and depend on what you are doing.
Generally when climbing and the above condition applies (i.e. I am attached by a cowstail rather than tying in directly) I can avoid the major risk factors of falling onto a static lanyard by not climbing around above the anchor, keeping the lanyard taut and generally not moving about. Consequently I am perfectly happy with a static lanyard for climbing.
For caving, where you often clip into a traverse line or a bolt at a variety of heights then start buggering around either traversing along or bridging across pitches trying to move your cowstail onto a higher rope or other tricky tasks, using a sling is a terrible idea. Such situations rarely occur in climbing, but they could.
A vaguely climbing example that comes to mind is the sketchy bit traversing around the tricky corner at the bottom (I think?) of Comes the Dervish where you clip a pair of long slings into bolts for protections as you move around the corner. This would be painful at best if you actually fell off; real cowstails would be much better.
I also wonder about bigwallers, whose tethers presumably get quite long by the time they have snuck out of a sleeping bag and passed through the wall of a portaledge through one of those tube thingys. If the bottom did fall out of the portaledge, I suspect the fall factor would be reasonable and the fall rather painful...
Any time you clip into something bombproof, perhaps to rest, you have to be aware that even if you are on belay it is probably the bombproof bit that will catch you - and so you can't afford to be climbing above it (with a static sling).
All these things are outside of 'standard UKC approved lead-swinging trad climbing'. But it's not unreasonable if someone wants to provide themselves with an attachment that provides energy absorption.