As somebody who just went through this exact same decision-making process and ended up buying a BG2.0, here are my thoughts:
There are several things that have to be considered when selecting a carry gun, and they all impact the others. An advantage in one area means a tradeoff in another, you just have to decide which are most important to you.
For me, it was (in order):
1. Size
2. Ammo capacity
3. Ergonomics
4. Caliber
For you it might be different.
I needed something as small and concealable as possible. That may not matter as much to a lot of folks, but it was a top priority for me.
I'm a reasonable shot with a handgun, but I'd rather have 10 chances to land a hit than 7 (and with a 12 round reload in my pocket). The thing I rarely see discussed about choosing self-defense weapons is what happens if you need to face multiple assailants? I'm pretty sure I can get the job done with seven rounds against one guy, but what if he has three buddies?
Ergonomics is key for everybody, you have to be comfortable with the weapon and be able to handle it naturally without too much thought in a stressful situation. The best way to evaluate this is to go to a gun shop and handle them yourself. It's even better if you can find a range that rents guns, and shoot them.
That leaves caliber. 9mm is ballistically superior to .380. It's just math. How much does it matter, though? Folks get all caught up on discussing the difference between this round and that round, and while that's all valid, you have to remember that in the end, you're still talking about someone being shot with a gun. Imagine taking a pencil and shoving it straight through your chest and out the other side. Even if you don't break a rib or puncture an organ, that's gonna leave a mark. I wouldn't carry a .22, but .380 is (just barely maybe) enough to get the job done.
I narrowed my search to three guns- the BG2.0, Sig P365, and Ruger LCP. The LCP has the ergonomics of a stapler and the smallest one only carries six rounds, so it was out. The P365 was better than the BG in some ways (9mm vs 380, better sights), but not in the ones that mattered most to me. The BG is just enough smaller that I can drop it in the back pocket of my jeans comfortably, and it felt much more natural in my hand. With the P365 I really had to struggle to get my grip right, the BG just snapped into my hands like a Lego piece. Could I have trained to get a good, consistent grip on the P365? Of course. Would I be able to do it instantly in a stressful situation? I decided I didn't want to take that chance.
A good friend of mine carries a P365 and swears by it, it's a quality firearm and works well for him.
Vive la différence.
As far as the safety vs non-safety, it really depends on how you want to handle the gun. I bought one with a safety because I'm an old Fudd who just doesn't trust the trigger on striker guns, and I'm used to toggling the safety on a 1911. I will say this, the safety on my BG is very stiff out of the box. I'm hoping it will loosen up after I shoot it a bit, but I would NOT feel warm and fuzzy about manipulating it as part of my draw stroke as it came out of the box.
Good luck on your search!