squatting does make sense--Even if minimally, it does open you up a little more than you would in other positions. I did not squat once during my labor, but when I was ready to push, I slid off the side of the bed, leaned a bit back against the bed and squatted until my baby was born--in about 20 minutes. My legs were killing me, but I wanted that little bit of extra opening (I think it's like 1-2 cm).
My first birth was in a hospital and to be honest, there is very little possibility of me having squatted there. When squatting you really need a firm floor and good support around/behind you. The hospital bed would not have worked--too unstable. If they let you squat on the floor, that would be ideal--possibly with your dh/doula behind you sitting in a chair and you can straddle your arms over their legs for support. I would even consider bringing some type of a thick mat, maybe a yoga mat or a foam egg crate mat for both support and comfort--those tile floors are hard/slippery/and just nasty.
I am having a home birth again this time and am making my own birthing stool. I was pretty comfy sitting on the toilet, but my bathroom is really small and I just can't sit in the bathroom that long...bathrooms are yucky. My midwife's birthing stool is hard-wood-small-and not comfy at all. I'm building a small replica of the toilet, but with a cushy seat and a little lower than a toilet for extra squat.
editting to add: with number 1 I was in a semi-upright position, but essentially on my back and I tore a little, baby #2 that I squatted I didn't tear/rip or anything. both were 20 minutes pushing though (good birthing hips? lol) also, I didn't practice squatting at all during my pregnancy--and I'm not naturally strong and am also overweight--also after 7 hours of labor--sometimes your body allows you to do amazing things!