In reply to Pete_Frost:
Yep, rope abrasion on the edge/lip if you fell would be of concern (definitely more of an issue than if top roping or abseiling), so wouldn't advocate it as a stepping stone between TR or indoor to outdoor lead for those new to climbing. (@Jonny taylor, with krabs/draws on the knotted rope, the little to no risk of the ropes rubbing).
Reason for asking was to find out if this 'niche technique' had a generally accepted name.
I've just developed some dry-tooling routes, and the rock is utter choss, so bolts weren't an option. I've set them with the intention of being tope-rope beginner routes, but wanted to lead them all for the first ascents. I got trad gear in some of them, which I'd convinced myself would hold, but had to resort to 'wierdo-knotted-rope' leads for those with no gear.
I went with alpine butterflies for the potential 3-way pull, and very well protected edges. It definitely feels bizarre to do