I am saying that this was NOT the case at all for me, so hopefully the OP will do the research far ahead of time in their area. If it helps, I'm in FL and I found most schools I applied to (which were 3, and I was accepted to all 3 with online classes) accepted my courses, and all are ABSN, state school programs that are pretty well respected.
In terms of harder? It depends. For me, the classes were extremely difficult because the professor posted powerpoints that were literally re writing the chapters. Some of my PPT's would be in the 200-300's for one chapter, and we covered two chapters a week. It was extremely unhelpful, so I had to go a bit rogue and teach myself A&P. I did this by using youtube videos, having my husband tutor me (He's a PA, so luckily is very versed in the important parts that I needed to know), reading the book for what I thought was important, and figuring it all out myself.
If I had the choice, I would have loved in-person, but this allowed me to keep working my job and is a big reason why I am able to take a month off before school and attend my program completely debt free.
I had to study pretty hard, and work through the frustration of not having a teacher. I have heard of other great success stories though, so it REALLY depends. I would try and find a student that had the online teacher/took the class and ask them what their experience was. I'm really good with independent study, so be honest with yourself. Not everyone is, and a LOT of people need that face-to-face experience. I really don't know if I could have gotten through it without my husband helping me out. I had a lot of frustrating nights.
Edit: I have to say one of the most frustrating things about taking these classes online was that sometimes the connection would break while taking an exam, and one time I had issues with the testing software, but that can be worked through. You just have to REALLY take ownership when it comes to testing time. One night, the internet went out in my apartment. You don't automatically fail, but the clock did keep running and I was in a huge panic and the test deleted all my answers.
I think my classes were accepted because they had the camera/anti cheating software. I'm aware some programs do not, which I don't think is right.
For me, the choice was simply because it was the ONLY choice if I wanted to keep my job. My community colleges offered the classes only during my working hours, and the uni I ended up taking them online at was the same situation. If I had the luxury, I would choose in person. I feel as if I got a good education, but gosh darn was it difficult to get there. Luckily I had an amazing human bio professor (also online) that helped me solidify a lot of A&P concepts, which I firmly believe helped me do well on the TEAS.