No, what it's saying is a type rating is brought up to the higher grade because you flew to ATP standards. Say you have a PVT SEL/MEL and get a DC-3 type. Then you do a COMM MEL in a 310. The DC-3 type will jump up to a COMM because you've shown you can fly it to COMM standards already. You'll have a COMM MEL/DC-3 and PVT SEL. And later if you get your ATP in a LR-Jet, the Three type will also be on the ATP because, again, you'n shown you could fly a Three to ATP standards. So you'd have ATP MEL DC-3 LR-JET PVT SEL.

In your example, you've shown you can fly AMEL/ASEL and ASES to the PVT test standards. So now you go out and pass a COMM AMES checkride. But you've never shown you can fly the SEL/MEL/SES above the PVT test standards.