You can compare the FV18 and the Monolith 16 Specs by comparing the Databass measurements of the Rythmik to the AH review of the Mono.
As I recall, there is very little difference between the two. Perhaps the Mono is a little stronger in the lower parts and the Rythmik was a little stronger in the mid bass? But comparatively, they are more alike than not.
FWIW, I agree with the general comments that doing two subs will likely get you more of what you are looking for. I would suggest 2 of the Mono 13s or 15s frankly over 1 16. I get that you may have an aesthetic concern. The flipside is you are clearly not getting the experience you are looking for.
To this latter point, the value of Bass output and where you get that output (infrasonic vs midbass) in a very large/extreme room is going to be a challenge no matter what. In the end, you have to decide which is more important and whether there is a compromise somehow.
When you get the other Sub in to try out, you should set them both up and run them together to see how that impacts your experience. Setting up 2 subs can be difficult, but can also work out quite well. With a little creativity and an open mind, you may well be able to do 2 15s and hide one in a corner or under a table.
Just spitballin. Some of us here, we love our Bass. And some more still than others. It's worth the effort to do it right.