A lot of variables involved here. I don't think you can formulate a general rule that fits all situations. On many trips, I and my companions have redistributed the material, but we have typically not lightened our loads. If we needed our gear before the injury, we are likely to need it even more afterwards.

What I do most often is adopt a slower, more deliberate pace. On one multiday trip, that meant I had to get on the trail earlier than my companions and finish a little later in the day i was usually hiking slowly by myself, consequently I saw more wildlife on that trip than normal, by a wide margin.

It seems that you are packing fairly heavy - I usually carry an ultralight alcohol stove or esbit tabs on a day hike, rather than a cartridge stove. I also tend to swap out my bit kit and heavy L-tool for something lighter if I am hiking into the wilderness, where there are fewer hardware items.

The other option is to change plans, or in extremis, call for assistance. That isn't being a wimp, that is just plain smart.