I agree that you're probably OK, even though I don't have any load data for the 125gr Berry's bullets. I understand .38 Special is a "forgiving" cartridge to reload, compared to .40 S&W or FN 5.7x28.
When I said, "If the bullet type matches" I was not talking about caliber. I was referring to JHP, JSP, WNFP, etc. The type (or profile) of the bullet.
What's going on here (I believe) is that your Lyman data is showing typical COL for .38 Special RN (round nose) bullets.
Your Berry's 95022 is a FP design. Same bullet weight in a shorter profile.
You really can't compare COL data between different bullet types.
So, the Sierra Manual is right. COL can vary. However, it doesn't mean it should be ignored.
Generally, if you can't find load data specific to your bullet, you can find a similar weight/profile bullet by another manufacturer and substitute that data.
Following my own advice, Sierra's manual shows a COL of 1.450" for a 125gr JSP bullet with a profile that looks similar to the Berry's FP. Your 1.433" is close.
Be careful to note the difference between loads for lead bullets and jacketed bullets, and that plated bullets are still being argued over as to which group they fall into. Berry's may have something to say on this, but I believe assuming they have the same barrel friction as jacketed is safer than assuming they are as slippery as lead.