Because of the times we live in, pretty much any FMJ round is called "range or practice" ammo regardless of the velocity or the ft. pounds of energy. HP ammo is known as "self defense" ammo.
I am a big proponent of hollow point ammo in 9mm, 38 spl, 357 mag, 44 mag, etc. however there are a few exceptions for me. While I do not carry a .380 acp, if I did, I'd use Federal or American Eagle FMJ. IMHO Federal is the most reliable and consistent vs other brands. The reason I'd carry FMJ is primarily because the JHP's in that caliber suffer from a lack of penetration. While the FMJ will never expand, at least it is capable of reaching vital organs because it will penetrate farther. They are also more reliable feeders than the JHP's especially in older guns that were never designed for hp's.
The other guns I'd only carry FMJ in are (IF I ever did cary one) pistols that were made 4,5,6 or more , decades ago. There are some 1911 pistols that will not reliably function with HP ammo. Federal American Eagle brand is for some reason 55 feet per second faster than the Federal version - don't ask why because I do not know. The AE is 890fps and the Fed is 835fps. So...... IMHO, one would be better off with the AE brand in this particular instance. While neither will expand, remember, it's already almost a 1/2 in diameter and will get the job done.