Hi Korolos,
When we use PV, it's more saying that the product of the two is changed.
For example saying PVreal < PVideal just means one of the two of P or V needed to have changed for this.
I would say that you are correct in pointing out that this is a relatively vague way of saying this, and it is better to say:
1. Intermolecular forces make measured pressures smaller than an ideal gas therefore Preal < Pideal, especially at lower Ts and Ps when molecules have more opportunity to interact.
2. Actual gas volumes make measured volumes larger than an ideal gas, and this becomes most noticeable at low V/ high P.
One thing I would contend with is that low V doesn't always come with low P (just a lot of the time) for example you can have fixed container volumes where P doesn't affect V.
I hope this helps!
Katt