That is correct. The stock subwoofer is dual voice coil, that is why it has two sets of positive/negative terminals.
There is no reason to make it more complicated than that, tapping the sub is all you need to do.
The sub output is likely 200-150 Hz down to 20 Hz. Though the power you need to hear anything below 30 Hz is more than the stock amp can manage, which is why I installed the bass tube. IB or Infinite Baffle plays all the way down to whatever the speaker is rated for, however as I said you need a substantial amount of power, it's not being provided here.
Ported enclosures are vastly more efficient which is why 50 watts is very loud. I've had a 100 watt tube before, it's not that much louder actually, only a little.
You are only providing the amp a signal, it's already crossover (75 hz, fixed). To get the adjustable crossover you need the 250D model and optional knob which has an adjustment between 60 Hz and 250 Hz.