In my experience, the stirrups on a barrel saddle do indeed hang to the front. That would make it possible to stand up in the stirrups, over the horse’s withers as it sprints, much like a jumping saddle has you in 2-point over the ‘withers’ as well.
If you want a western saddle with a more dressage type position, you’re probably going well out of the stock/mass produced market anyway.
You might find one that works OK, that you aren’t fighting, it depends on your own conformation. My wide Billy Cook all-around saddle puts my feet out front, but my mother (shorter by two inches, bigger behind by maybe 3 pants sizes) fits it great, with stirrups underneath nicely. My mom’s badonk-a-donk, you see, places her seat bones farther to the front of the saddle and thus the stirrups are ‘placed’ correctly for her. My badonk-a-donk has never been J-Lo abundant, so I end up with my seat bones farther back toward the cantle in a western saddle.
The saddles you pictured have the stirrups hung well out in front, as well, I would be chair-seated in them.
Make sure you are looking at where the stirrup hangs in reference to the deepest part of the seat, not in reference to the rigging or the swells.
Also, a common method of saddle photography demands that the fenders CAN swing forward, so many photos show a western saddle with its fenders pulled far forward, though they may be hung ‘under’ the rider. Or not- you have to be able to ‘see’ where the stirrup leather goes over the bar of the saddle.
Since you already have a good-fitting Wintec, and you are looking for a sometimes, secure western saddle, I still think a barrel saddle (especially with a nightlatch to grab) is a reasonable saddle. The barrel saddles tend to have a great supportive cantle on them, you don’t want to get wonky as the horse accelerates after a barrel!