I think that part of your issue might be with naming conventions.
The term
Semi-Jacketed Hollow Point was introduced by Remington more than half a century ago to describe their scallop jacketed ammunition like the 158s in this picture
All other designs of the day were called
Jacketed Hollow Point regardless if the Jacket left lead exposed or not. BTW virtually all
JHPs originally had exposed lead. It was not until pre-scored jackets became a reality that
JHPs had jacketing extended to the tip of the projectiles.
While most Factories pretty much still differentiate the terms that way, many shooters have gone to calling any
Jacketed Hollow Point ammunition with exposed lead "Semi Jacketed"
Plated bullets have further confused the terminology with some people using the word Jacketed with Plated projectiles
Technically there is no such thing as a
"Fully Jacketed Hollow Point" though some plated bullets do have plating in the hollow points
If you are truly looking for the Remington 158 grain
SJHP ammunition, Ammoseek returned 25 listings for it.
If you are just looking for anybodies 158 grain
JHPs, Ammoseek is showing 182 listings
To help you with Ammoseek, if you put
JHP in the box that says "Match these words in search" you will only return listings that include
JHP
Jacketed ammunition is safe in any firearm