Of course skipping the screen and taptic engine disassembly, all 4 strips broke for me, so I ended up using a thin rubberband in place of the floss, and a flexible plastic card, slim enough to slip under the battery and pry it out. Took more than an hour but it worked out in the end, and I was glad I didn't have to deal with reattaching the screen and everything else to be honest. Be careful to not tear other small components with the edges of the card though, as I tore some unsuspecting black rubbery cover from a metallic case above the battery connector. Used some thin insulating tape to cover the exposed parts, just to be safe.

Make sure the new battery connector cable has similar length and width to the one of the original battery. I got a third party battery and the cable was longer and not folded in a "U" way near the connector, like the one in the genuine battery was, only folded at a 90 degree angle. That "U" actually perfectly fits in the small space between battery and connector port, so the cable doesn't stick up thus making connecting it or closing the screen impossible. So fold the cable, connect it, and while holding it to prevent it from disconnecting, stick the battery so the "U" curve of the cable sits down just between battery and connector port.

If you're skipping the screen and taptic engine removal like I did, I suggest you tape the back of the phone to the table, and also tape the screen to the vertical object it lays on, so it stays still. That way you will avoid having to constantly readjust it because of the sliding of the housing of the phone when you're working on it. Be careful where you're putting the tape on the screen though, if you're doing it on the internal components.

If you don't have the anti-clamp device, to prevent the screen from tearing open when suctioning it, I suggest some layers of tape around it and the back of the phone (the tape has to be stretchy enough to just minimise the momentum when separating the screen), or some big rubberbands

I read about the zip tie precaution but as I didn’t have any in the house i just went on using the suction cup without any protection.. and in fact the phone snapped open at one point and the home button cable bracket flew away, as the cable separated from the socket… I imagined the worst happened but as the cable was still intact I wanted to check if for a miracle there wasn’t any damage, so I reconnected the home button to its socket and turned on the phone (still with the case open)… and I must had just consumed all my yearly luck subscription because everything worked fine including Touch ID!! So if you experience a situation similar to mine where the home button cable is still intact, give it a shot reconnecting and testing it before you order a replacement!