I tend to treat the 1126 like a studio monitor and shape the cab's bandwidth with the Quilters HPF and LPF type controls otherwise the lows are too overpowering. Either that or cab sims.
I tried a S112 and liked the sound but it seemed a bit too light on the lows for my taste.
Yes the One10 reminds me of a S112 too but with more lows. I need to try the One10's again, maybe with a different bass but the gigs I've had recently I've played safe with what I know will definitely work. I did a gig once with just one cab and it was fine but it was a wooden floor and the next 2 gigs were on carpet. I maybe need to try the cabs with the port to the side too.
I've not tried a Two10 but I would imagine 2xOne10's would be similar.
It looks like our experiences are similar then.
The S112 definitely sounds a bit 'light' compared to the 1126 especially which is a bass monster. Although a pair of them result in a nice low end boost, and if you can set it close to a back wall, you can get a very full sound without boosting lows (Stingray/Precision + MarkBass LMII typically). If you try only one S112 it sounds decidedly wimpy.
I used the two S112 once in a large stage, the kind of stage where you almost need your phone to communicate with the guitarist on the other corner

No back wall. I thought it was not going to be very nice onstage (the stack looked so tiny and lost

) but it sounded really really good. We had very good monitoring but I ended up having no bass on mine, just using my amp. There's something really sweet about the low mids and tight bass on those cabs and I love their sound in every band I play in (one is ska/funk mostly, another ska/reggae, and the last... a Rage Against The Machine tribute which is ultra fun... my guitarist there loved it when I showed up with the Two10 "hey, isn't that what TimC is using too these days?"... he thought I did it on purpose but I didn't... I just like it, just like I simply like my natural/maple Stingray which I often use without a pickguard... from before I knew who Tim Commerford was)
I once used the pair of 1126 in a bar where another band (reggae) played before us and the bass player used my amp, no PA support. Those cabs filled up the room amazingly well. I just found the low end a bit too much too often, same with the Barefaced BB2 pair I used to have. The S112 sounds great when you boost the low end a little, but because they cannot handle a lot of power you really need to be a little careful. That's why I found the Two10 so cool, as it gives me a similar sound but with more lows, as you said, and it's a very tight low end... I don't know, I just love it.
When I realised I can fit two Two10 in the boot of my little car plus pedalboard, amplifier, overnight bag etc etc, it became obvious where my future lie

I was tempted about the One10 as I like modularity... but I could see myself ending up with 4 of the things and that's a lot of extra cash compared to even a couple of Two10s.
I can't imagine *needing* the two Two10 often, but it's a relatively small portable rig and when stacked up vertically it doesn't take any more floor space than a single one...
Anyway, I digress with my own stuff, sorry... I am just drinking very nice and very strong coffee while I make time before I need to join the 'monkey van' and drive down to England for a weekend of gigs, so I just have bass in my brain and overactive fingertips
I hope you find the One10 pair works for you and it was just the wrong room or something and just needed some adjustments.
Do you use the pair of them without PA support in those places you mentioned?