Testing using heavy clothed clear gel, which may not be perfect but allows for consistent comparison.
https://www.luckygunner.com/labs/revolver-ballistics-test/
https://www.luckygunner.com/labs/self-defense-ammo-ballistic-tests/
No, there is not a 380 bullet that compares to the 38 special 130 HST micro 13'' / .73
That said, lets look at the performance of some others from a 2'' barrel.
Only loads that penetrate at least 12'' and not over 18''
38 special:
Hornady 110 FTX+P 13.1'' / .48
Hornady 125 XTP 16.7'' / .35
Remington 158 LSWCHP+P 14.3'' / .40
Speer 135 Gold Dot +P short barrel 13.6'' / .44
380:
Hornady 90 gr. Critical Defense 13.2'' / .52
Sig 90 gr. V Crown 12.8'' / .51
Remington 102 Ultimate Def 15.9'' / .40
Hornady 90 XTP 14.1'' / .39
Though the 380 can't compete with the best 38 special load(s) it performs comparably to some including +P.
Now, lets compare handguns.
https://www.handgunhero.com/compare/smith-wesson-model-442-vs-ruger-lcp-max
https://www.handgunhero.com/compare/smith-wesson-model-442-vs-ruger-lcp
S&W 442 (snub) L - 6.3'' / H 4.3'' / W 14.7 ounces / 5 rounds capacity
Ruger 380 LCP L - 5.2 '' / H 3.9'' / W 9.6 ounces / 7 rounds capacity
Ruger LCP MAX L - 5.2'' / H 4.1'' / W 10.6 ounces / 11 rounds capacity
The 380's are smaller, lighter and have a capacity advantage.
Overall advantage goes to ... 380
https://www.luckygunner.com/labs/revolver-ballistics-test/
https://www.luckygunner.com/labs/self-defense-ammo-ballistic-tests/
No, there is not a 380 bullet that compares to the 38 special 130 HST micro 13'' / .73
That said, lets look at the performance of some others from a 2'' barrel.
Only loads that penetrate at least 12'' and not over 18''
38 special:
Hornady 110 FTX+P 13.1'' / .48
Hornady 125 XTP 16.7'' / .35
Remington 158 LSWCHP+P 14.3'' / .40
Speer 135 Gold Dot +P short barrel 13.6'' / .44
380:
Hornady 90 gr. Critical Defense 13.2'' / .52
Sig 90 gr. V Crown 12.8'' / .51
Remington 102 Ultimate Def 15.9'' / .40
Hornady 90 XTP 14.1'' / .39
Though the 380 can't compete with the best 38 special load(s) it performs comparably to some including +P.
Now, lets compare handguns.
https://www.handgunhero.com/compare/smith-wesson-model-442-vs-ruger-lcp-max
https://www.handgunhero.com/compare/smith-wesson-model-442-vs-ruger-lcp
S&W 442 (snub) L - 6.3'' / H 4.3'' / W 14.7 ounces / 5 rounds capacity
Ruger 380 LCP L - 5.2 '' / H 3.9'' / W 9.6 ounces / 7 rounds capacity
Ruger LCP MAX L - 5.2'' / H 4.1'' / W 10.6 ounces / 11 rounds capacity
The 380's are smaller, lighter and have a capacity advantage.
Overall advantage goes to ... 380