there are many different types of plastic - as there are different types of wood. Sweeping generalizations serve no-one well. I did my research on coops before I bought my first chicken, and I concluded that these Nestera coops are the best available in the UK. I have not had any reason to doubt it since acquiring my first - which was already 2nd hand - in 2017, and have bought two more since.
How are the mites in your wooden ones? What preservative do you use on it? Have the rats eaten it? I could go on.
		
		
	 
I had a few red mites + mite eggs in it in the second year I had chickens. The mites and eggs were all sitting under the bark of a roost/branch and in a large crack in another roost.  Threw away the branche, cleaned everything. I used diatomaceous earth. Dusted the girls with it once (very carefully). And used it as a paint on the roost and in the inside of the coop. Hoping that the eggs I missed would die from the DE.
I reapply the DE 2 x a year.
Never had a infestation after this one, that was just starting to develop.
Ad a preservative I use a natural, black fungi paint. It needs linseed oil applying it and needs more oil every two years.
This flimsy coop I bought is 11 years old now (used it as a rabbit hunch first). It started to leak etc.. Made a new larger roof on top snd needed to make several other improvements. Also made an extension to it. This coop is not good quality and I am surprised it hasn’t fallen to pieces. The roof really is a life savvier.
PS, I wil always prefer wood over any kind of plastic because of the environmental pollution and in general plastic I find plastics ugly.  But I use it too, because plastic is often very convenient. 
Recycling it, is a good thing. I didn’t say the recycled plastic coops are a no go.  It’s just not my kind of thing. 
There is also lots of greenwashing going on in the so cold ‘ocean plastic’ products.  But wood isn’t always good/what they say it is too (unlabelled/false labelled tropical rainforest). 
PS2
I have no problems with damp in my coop.