As noted above anytime you change a component in a load there is the potential for some change in the pressure it generates so you'll want to back down a bit and work back up.
For a mid range load, the differences won't cause serious risks, but for a maximum load a substitution can push it over the top into the unsafe range.
I'm not a believer in using minimum loads in some calibers as small charges in some cartridges can cause some pressure spikes. If the load data on the page is blank in the lower velocity squares where other powders are sowing loads, that's a major warning sign not to drop below the minimum load for that powder and I generally avoid that minimum load as well.
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In some cases, a bullet will be referenced generically, such as the "Hornady JHP" versus "Hornady XTP" example noted above. You have to consider the source being used to determine what that might mean.
- It may be old data referencing an older discontinued bullet, and with Hornady their older manuals tend to be hotter and less conservative than the newer ones, so it's a potential case of both a change in bullet and a load that may be a bot stouter than is prudent with that newer bullet. Use caution.
- Alternatively if it's a third party publisher, you may find they are using Hornady data but are using a generic "Hornady JHP" to reference "XTP" data to enable them to republish the data. I've seen this in some publications where they may be using the data from an older but not ancient source like the Hornady 6th or 8th edition with an XTP bullet, but call it a "JHP" to avoid any legal infringement issues.
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If you talk to ballistic technicians at different companies and ask the same question the OP did, you'll get the same basic answer - bullets of the same basic design, weight and diameter will vary in their "stickiness" due to differences in gilding metal formulation, core alloy hardness, and nearing surface. They'll advise you to back off and work back up when changing bullets.
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You'll often see load data where all the data for a given weight is on the same page (Hornady is a great example) and in that case you can assume one of the bullets may be the limiting factor in the maximum load column, where the others may still have a bit more room left for development. But since you don't know what bullet that is, you need to stay within the published data.
Powder company data often has even more generic load data with min and max loads for a specified weight of either cast or jacketed bullet with no specified brand of bullet. That data, by necessity, has to be more conservative, and similarly, you'll want to approach their max loads with more caution as you are dealing with more unknowns.