Hello and welcome. I am not 100% sure what these containers are. I have used hanging baskets that were made of some sort of coarse fibrous material supported by a wire framework, sorry I don't have pictures. I planted directly in them and they lasted a surprisingly long time but I had Christmas Cacti in them and I kept them kind of dry.
If you decide to use the liners I would definitely perforate them as very few plants do well without drainage. You may be able to remove the liner briefly in order to water, returning them after the bulk of the water has drained.
We posted at exactly the same time then. Made my computer go a bit funny for a while. Anyway the baskets are made of seagrass. rattan, willow or acacia. Some come with a fitted liner and some without. The liner is supposed to extend the life of the basket. It cannot be removed as it is integral to the design (the wires go through it!) I worked at a nursery for several years and planted up hundreds of them. The willow and rattan ones lasted quite well but the seagrass I'm afraid didn't do much more than a year.