By definition, all Scuba cylinders are high pressure cylinders. In the US that definition comes from the CFR and the Compress Gas Association.
A low pressure cylinder is the kind you buy in a hardware store or an auto-part to hold shop air (from 90 psi to maybe as much as 150 psi). Propane cylinders are also low pressure cylinders. I can’t remember the pressure threshold were they are classified as high pressure cylinders, but it is very low.
The scuba industry is a very small portion of the compress gas business and it decided to make its own naming convention. I find it very annoying and very inconsistent with the bigger compress gas industry and the rest of the world.
We have a common, technical language. Why does the new kid in town has to start changing the established names?
There are very good technical reasons to differentiate true LP cylinders from actual HP cylinders.
LP cylinders do not need to be hydro tested. They just get visual inspections.
All HP cylinders are hydro tested and are re-qualified in a similar manner. There is no technical difference between an 1800 psi cylinder and a 3500 psi cylinder.
There have been 3AA cylinders rated for 4500 psi. The actual wall stress design on those cylinders is exactly the same as for the 1800 psi 3AA cylinder.
The newer exemption (or special permit)steel cylinders are made of higher strength material, but they are design using the same methodology and the same type of calculations as the 3AA cylinders.
Added: I will admit that I have occasionally used, incorrectly the terms HP and LP cylinders, when talking to other divers, but that is not correct and it still annoys me.