Would a skar zvx v2 12 work well in a sealed enclosure for a home theater application?

There are a lot of subs that do well sealed, but from what I can tell this isn't one of them. For starters, one of the ways to determine what type of enclosure a sub is best suited for is to look at its EBP. EBP is free air resonance Fs divided by Qts. In this case 51/.44 = 116

An EBP below 50 works best sealed. 50-60 works well either way. 60+ should be ported. 116 is very high on the EBP scale which basically tells you a ported box is required for best performance.

I went ahead and modeled it just to see what it's frequency response looks like sealed. It's low end performance is not good.

For example: In a ported box that's 2 cf tuned for 30hz that sub can generate about 113db on 500w.

In 2 cf sealed it's at 103 db. 10dB means it would be half as loud.

Plus, home theater applications usually need more low frequency capability than the typical car sub.

Technically, it would work, but it would be like using a rock crawler for drag racing.

I wouldn't recommend putting a woofer inside a home. You'll be getting noise complaints from your neighbors.

You can jump into car audio and built an aftermarket system.

Not really.

Basic loudspeakers do not perform well at low frequencies, below resonance.

The resonant frequency of that is 51 Hz.

All the best home theatre subs use some form of servo drive system, which continuously measures the cone position and adjusts the drive current to force it to where it should be, regardless of resonances or changing impedances.

Those can give good performance to 20Hz or below, with near perfect response.

eg. A B&W PV1D is only 6db down at 6.5Hz...

A Yamaha YST-FSW100 which costs less than $100 has a response down to 30Hz.