I'll be doing some Dolomiti high routes again this year - trails which include "via ferrata" sections - so the issue of my UL protective kit came up for a review I can share.
I still have my edelrid kit (bottom) but I've only used this for the most demanding routes in recent years. Via ferrata's are rated from 1 to 5 for technical difficulty and A to C for exposure. For routes rated 1, 2 or 3 (regardless of exposure rating), I consider the 2nd clip too distracting (almost more of a safety liability). And in any case, on most such routes, the via ferrata kit is more of a backup or precaution (for bad weather or if I need to assist someone in trouble) and not needed most of the time in good conditions. So I will be taking just my "basic" kit (315gr) consisting of a 75cm Simond self belay lanyard along with a 120cm "sling". Thats a good weight saving compared to my "full" kit at 480gr with the same harness and sling but the Edelrid VF instead of the lanyard.
Both sets include the minimalist "Camp Alp Racing" harness (92gr) - the lightest fully certified harness on the market and the sling ( a multi use precaution tool with minimal weight penalty)
The Petzl Sirocco helmet (with a myog velcro sun-shield) weighs 170gr but is only really needed on routes with people further above and not essential for traversing routes (unless its a short section or day hike when weight is not an issue).