At these low velocities of maybe 800 fps, or even slower in a short barrel such as 380's have, a hollow point will not act much differently than a round nose.
To get a hollow point to do a dramatic expansion, you need to have some significant velocity -- which the 380 cannot provide.
My wife has a 38 Special +P. This is pretty marginal, to be sure, but beyond anything a 380 can provide.
This is where using bullets meant for the specific caliber comes into play. .380acp bullets are generally built to open at low velocities just as 45acp is. Jacket thickness and design for bullets being shot out of a 380 are different than those that are meant for the 9mm even though they are the same size bullet.
When it comes to the 'little' guns I tell folks to use non expanding bullets because penetration is a requirement to get into the vitals. Expansion inhibits penetration. Leave the 'expansion' up to the 'bigger' guns!!!!
The 380 is definitely a good defense gun up close in my view as it was intended to be. I'm pretty much in agreement with everyone, it can and will do the job it was intended to do, stop someone, but like any weapon, shot placement is needed and if the first one doesn't do it, then the next 4, 5, 6 and so one will.