One interesting correlation I found is that the rubber tyre metro’s also have platform doors, and the steel wheel metro’s dont have doors on the platforms.
Lines 1, 4 and 14 have rubber tyres and platform doors because they are fully automated (or in the case of line 4 in the process of being fully automated). So far Paris only fully automates rubber tyres lines.
Line 13 has classic metal tyres and is only semi-automated, but it has platform doors because it is very high traffic. Most Parisians avoid line 13 at rush hours because it is probably the most packed line in the city.