I feel like I'm not not missing that much at least as far as the sound is concerned.
But it is true that you don't get like the physical feeling of it (unless you have one of those weird vests, I guess).
Honestly, not a lot of people in rented apartments can hear music that loud to "feel" the bass. If I did my neighbors would literally kill me.
It's great. And a lot of work goes into tweaking that range of frequencies that goes unnoticed, unless the mix engineer screws up.
Imo the best thing you get from better headphones is clarity. Hearing intricately crafted neuro timbres just inspires me.