Cari I use those exact plants in my tank and my boys adore them. They have gotten in around under and jammed into just about every gap without any problems. I went crazy with a bit of pantyhose looking for scratchy ends.
Because they are so cheap I do tend to buy and toss them with ridiculous frequency rather than use them long term. For one thing the material picks up the brown algae I am having problems keeping down in the divided tank and looks gross.
If I had the money I would likely rip out the wires and glue the entire plant together with gel superglue to make it safer, but to date I have had no problems with my system (plus I fully change tanks week to week so no plant is in there longer than a week before being cycled out, cleaned and dried for another 2)