Huh… I have both as well and I think the original is better in that regard. It has less mechanics (contingencies, Pod ejection schedule…) making it much easier to understand for beginners. Also I like the theme and the alien design more, but this is subjective of course. In our gaming group we have generally more fun with OG Nemesis (only slightly though, lockdown is great too). I’d choose the original over lockdown.
When I think of BSG, what comes to mind for me is something like Panic Station, or maybe Human Punishment (the Beginning). Maybe take a look at those three games if you don’t know them already.