Well.... To answer your questions.... Yes. The coils are the same except the chimney. Some times the height of the coil may also be a little different also. If you try using the T3s coils <-> Mini pt tank, you may have to add that little rubber grommet (the one that you add , install it upside down. You can tell if you just put them all together, you can see if the rubber grommet is touching and sealing or not.
I personally think you made a great choice on the tank. These tanks are liked by 80-90% of the folks who use it. As I do. There are a few things to keep in mind as you are starting to realize. But It's much much less troubled than most tank (different types) on the market right now.
Here are the list of different style BCC tanks on sale now but uses the same replacement coils. EVOD, MT3S, MT4, T3, T32, T3s, T4, X6S , REM, V2, V2-DT6 ,V2-DT8 , BCC , Mini BCC, KWX6 , X9 Protank, Protank 2, Protankmini, KWX5, PURITANK, Davide Mini Glassomizer etc.
A few things to watch out for.
How much to Tighten.
2 fingers tight. Not more not less. If it's not firing, than try picking up the center post on the battery with tooth pick or small screw driver just a tiny bit. Lining up to anything is accidental and that is all.
Gurgling. Caused by removing flavor wicks. Seal on the center posts not sealing. Or E-liquid is too low.
Do not remove the flavor wicks unless you are having dry burns (wick not getting any e-liquid).
move up the seal on center posts and let it seal naturally (its get pushed down when you install the base).
Do not let the tank run lower than 1/4 of the window.
I use small piece of rolled up paper towel to remove condensation from the airway after
a. Filling.
b. after vaping for about 1/2 of a tank.
Cheers