I've done a few tours with aerobars. I don't use them anymore because there are quite a few compromises with them I don't like.

1) If they're not of the flipping up variety (where the arm pads flip up when no pressure is applied), you'll likely lose the tops hand position of a drop bar. Not really an issue if you're using alt bars. With drop bars I sorely missed the tops.

2) Aerobar fit is a bit finicky. The reach distance of the aerobars is fairly static since it's dictated by your torso length and you only have your upper arm to adjust. However you'd preferably want to keep the arm/torso-angle as close to 90 degrees as possible. This means the rear portion of the aerobars need to be fairly close to your saddle compared to where your handlebar is. You don't want to overreach aerobars. That gets really uncomfortable really fast. If you want to keep your saddle in its typical position you'd use with your ordinary handlebar, the aerobar is going to need to come back quite a bit and can get in the way of riding out of saddle and mounting/dismounting the bike.

One solution to the aerobar being too far back is of course to focus on the aerobar position and push your seat forward in a TT or Tri-bike style, which unfortunately severely compromises your regular riding position. But this is what many RAAM and Transcontinental Race riders do.

Another solution is to use a shiftable seatpost like the Redshift post which gives you a regular riding position and an aerobar position.

Then there's height. TT- and Tri-bikes can get away with low aerobar heights because the seatpost is almost vertical, ie. the hip isn't closed when pedaling. However when you take a laid back touring seat position and slap on low aerobars which might also be a bit too far forward to give your legs some working room, you'll end up in a position which is more akin to stretching in high school gym class than cycling. Makes breathing difficult too.
The way you solve this is by raising the aerobar significantly so your torso angle is close to your drops position. Many aerobars have extension pieces available for purchase. But a comfy position can make the aerobars pretty towering so keep that in mind.

3) You might need a new saddle. Aerobars kinda require you to push your pelvis forward in a way you might not have tried before. If you've been riding a thin nosed saddle with the weight on your sitbones (something brooks made etc), an aerobar will put your unmentionables to sleep in no time. If your aerobar position isn't perfect it'll happen even quicker. You'll want your pubic rami really well supported with an aerobar.

4) You'll likely lose you handlebar bag privileges. There aren't many good aerobar compatible bar bags available and the other solutions are pretty bodgy (I used a second stem below my main one...)

5) The end result gets HEAVY. If you add together the aerobar, extension pieces, handlebar bag bodges and a shiftable seatpost, you'll be looking a bike that's easily two to three pounds heavier than what you started with.

As to does it make riding better? In headwinds? Well kinda and no at the same time. My final impression was that a compromise position won't work. Either your position is focused mainly on the aerobar riding OR you don't use the aerobars. Having a good regular riding position AND a good aerobar riding position just doesn't really work out in the real word, unless you're extemely flexible, athletic and thin. And even then the aerobar might not be a comfort position.

It does help with the absolute aerodynamic drag but at the same time lowers power so many times it's tit for tat. Handling isn't really an issue as long as you don't ride behind someone on them.