There is no such animule as ".380 ACP +P." If there is, it's not SAAMI spec, because SAAMI has established no such specification.
If the manufacturer of any round marketed as ".380 ACP +P" is a Member of SAAMI, then the round is in fact SAAMI-spec .380 ACP and the "+P" designation is just some sales sizzle.
So, yeah! Since you need it spelled out for you, you can safely and confidently shoot any SAAMI-spec 9 X 17mm round out of your BDA.
BTW, last I looked, CorBon markets all of its handgun ammunition as "+P," but two years or so back, formally joined SAAMI, and by doing so became signatory to SAAMI specifications.
For the record, the only "+P" handgun rounds for which SAAMI lists a specification are: 9 X 19mm, .38 Special and .45 ACP. Anyround in another chambering is a product of the marketing department, not the production line.