The BTA06 is rated for all 4 quadrants, the BTA12 only for 3 (Not for MT2(+), G(+)).
The holding and latching currents are also higher for the BTA12. The maximum gate current (Igt) is way higher on the BTA12
It's probably worth giving it a go, but it may trigger less reliably and not work as well on light loads.
What's the application?