Well it’s like the difference between a live rock concert and using headphones. At those volumes you feel the sound in your chest, hair, and pant legs vibrating. It makes the music (especially rock/metal that’s pretty much meant to be loud) much more engaging to me.
If that is really what you are after.... may I recommend some PA speakers?
Danley, D&B, L'Acoustics, and Meyer Sound all make some great offerings. And yes some of those brands, and their respective models, do sound good enough for the living room.
They will offer more SPL capability, and driver protection where appropriate (additionally the better brands limit what the end user can muck with "special sauce" processing). For example Meyer Sound only sells powered speakers. You cannot access or change the individual box processing, nor could you recreate it if you had years on your hands; it is that good. You cannot buy D&B or L'Acoustics without also buying their amps, it is a locked eco-system, as it should be.
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Also if you want to "feel" the music. May I recommend going quieter, and EQ'ing out the harsher frequencies? You may find you can achieve the weight you are after while listening at a manageable level. By trade I am a live sound engineer, and for mixing rock music, a large part of that work is removing frequencies that I find to be "offensive" from the sources; cultivating a sonic space, and being intentional about what I am wanting to hear.
As SPL changes so does our expierence of frequencies. How a 80dBA show is mixed vs a 95dBA show can be quite different. The louder it is the more care needs to be taken to trim back the mids, and top end (hence why many PA's are tuned to a slope or with a large sub "haystack").
Granted the frequencies you would find to be "offensive" would depend greatly on the song/genre.