Just to be clear are you saying deeper into the case or closer to the lands?
More jump, deeper into the case. The vast majority of times, this is a hunting topic and the crimp wasn't as productive as seating depth tests. (I will say that some of the best ELR bullets are lathe turned solids, but that isn't what I am discussing here.)
I cannot explain why, but it has been near universal for so many guns and calibers I start seating tests with any reasonable speed and then I check for charge weight.
The OP's focus was crimp v no-crimp, so I don't want to derail his thread with the Barnes topic. I'll keep it short.
Long ago, I was forced to deal with a "Condor no-lead" zone that covered much of the best wild pig hunting zones in CA. This was forced on me and several of us had to change to these Barnes bullets.
Regardless of what the biologists found with respect to Condor blood lead levels, the CA politicians later expanded those rules to the whole state.
All of which is a long way to say that another wave of friends and club mates asked for help developing a copper solid recipe. Those were the days of paper targets and so I don't have an easy way to share the typical improvement.
Only further things worth sharing is to watch for the twist rates as these are long for their weight. We didn't do this for fun, but the last thing you want to do is go after a wounded big in thick cover. Keep the rookies from trying for hero shots and stalk in closer.
After a while, I stopped asking "why" and just cranked through the work letting the target do the talking.