Do you have a HD or a DD drive in your Amiga? If you have a DD, then you can even use HD floppies without taping the extra hole.
I have never ever had any issues with HD floppies on either a500, a600, a2000 or my a1200 and most of the HD floppies i have from the early 90s works just fine today, even though it has not been stored under the best conditions.