Chris Kleps found time and again that his Shorai 18lfx had one good rollover in it. If the bike didn't start on first go, the battery was dead.
But his Egli is a 1000 cc twin, not a 500 single so that is a different amount of work being done.
Glen
My experience with Shorei Lithium Iron batteries has been positive with my Rapide on 8:1 pistons, it starts very well. On the odd occasion that it does not start straight away for some reason it is good for several attempts at starting. I have also used it successfully on my 996 Ducati ST4S. The one I use is the LFX14A1-BS12, stood on end in a dummy battery box. The ratings on the side of the battery are 12V, Ah 14, CCA, Max Charge Rate 14A. I don't know what the engine specification is on the Egli, maybe a bit hotter than my Rapide but I would have thought that the problem was not the battery unless it was not charged or a complete dud. Michael Vane Hunt mentions that when the starter was taken apart it was full of gunk, rust, dirt etc. I guess that was the problem.
The surprisingly light weight, the way they hold their charge for a long time when not used and the ability to be oriented any way up, down, whatever, are positives. The big negative unfortunately is their price.