I, like most, only ever attended one law school. But, from what I've gleaned over the years, this applies across the Country - law schools teach the same basic curriculum in largely the same way. For the most part, the differences are marketing, etc.
I just reviewed the LSBC site. It appears to unambiguously answer your question.
Unsolicited advice: this sounds like a terrible idea.
As you know, we don't have a program in lieu of articling in BC. As a practicing lawyer in BC, I have never encountered anyone who has done Ontario's LPP and is practicing in BC (that does not mean they are not out there, but there cannot be many).
I don't know what your plans are after you return to BC, but I cannot imagine the BC legal job market being any more inviting to you when you return without ever having worked a legal job. Most BC legal employers were Called years or decades ago, and they have never even heard of the LPP.
If you go this route, you really should consider spending a year or two working in Ontario before you transfer to BC, even if it isn't strictly required.