The sound of the action operating is not to be dismissed. It can and very likely will be louder than the 45 out of a good can.

If I was to choose one to be as quiet as possible. A lever/bolt gun would be my choice.

The state here has moved to a Mossberg MVP in 300 BLK for animal control. It sounds like a powerful pellet gun. So can be used in urban neighborhoods.

Also a 357/38 level gun is just a ton of fun with style points to boot.

The goal is suppression with all ammo types. I have many different guns that can fill any role I need, except for being quiet .

Downside to the 38/357 is lots of 38 special ammo will be supersonic by the end of a 17.4" barrel.  Ammo selection would be very important to keep it quiet.  With 45 ACP you gotta kinda hunt to find ammo that will be solidly above 1100 fps even at 16.5".

If the goal is suppression no matter what ammo is on hand, then the LC carbine.  You will have fewer surprise "crack" when shooting a random assortment of ammo from the store.

If the goal is a flexible platform that can be suppressed, then the lever gun and be aware during ammo selection for your loads to shoot suppressed.

Since you own both calibers already, I would lean more towards the Henry, specifically because of the versatility offered by a .357/.38 lever action - it theoretically can be used for everything from plinking to self defense to hunting medium game - though I have no hands-on experience with either platform.

That said, I believe one of my local ranges has a Henry Big Boy X in .357 on their rental wall, and I think it's suppressed.  I'll check it out next time I go and let you know what I think.

I hear that.  I actually started looking in this area two years ago (which was made famous by a certain Harrison Ford movie back in the mid-80s), but first the rental market and then the actual real-estate market went bananas thanks to people desperate to escape the urban hellholes that NYC and Philadelphia have become since The Summer of Fiery But Mostly Peaceful Protests.  I tried to buy last year, but most properties were bought up within days of being listed (which was tough since I was living several hours away, working full time, and refused to buy sight-unseen), and I was still being significantly outbid on the few properties I was able to put offers on even though I was offering $20-$30k over list.  Thankfully, I was able to find an apartment in the area so I'm in a much better position (literally) to house-hunt this time around.

The market seems to have calmed down since this time last year, and there are a few places coming on the market soon that have caught my eye, so here's hoping....

But truthfully (and getting the threat back on track), I don't want to have to go through the hassle of submitting a Form 4 or Form 1 (I'd like to put an SBS together from a Mossberg Shockwave) only to have to change the address on the application midway through the waiting period because I've moved.  If the waiting periods stay as short as they've been (two FFLs near me that deal in suppressors both say they're seeing eForm 4 approvals come back in anywhere from a month to 48 hours), then I'll give it a go.