Where did you get that reader? The only ones I have found are long and skinny, id rather have one like that. Also, how well do the 14250's hold up with that setup?
Google DS-BA-6S-MINI-CHECKER. They've been real hard to come by recently as we snatched them all up many moons ago. They only work with 2 -6 Cells. That switch I'm waiting on is a 2P3T that will allow selecting between monitoring the atty voltage both while setting and under load, off, and the conditions of the batteries -- sequencing Bat 1, Bat 2 and All Batts.
The Batteries

I'd Rather no go there -- but for you I will - not the best (The reason for the voltage warning chip

). The switching regulator helps out wonderfully tho. They were the only ones I could use to get it all in that box. Plus they were implemented due to a challenge I posed upon myself in an earlier post/thread and by several friends that saw my original in action and wanted one. I didn't even have time to post this a month ago since it was snatched right up by a buddy before I could document it.
They are A Royal PITA to charge -- They cut off before full charge on pretty much every stand alone charger I have so I rigged an old 510 charger to do the trick. One might see 6 hours out of them depending on the your vaping style and demand.
OK - back to the OP's Topic funtional battery cut-off units