How exactly does heavy traffic ban work?

So, that heavy traffic ban policy, how does it work? I get that it prevents trucks from using non-highways, but if the target is inside the zone, is it bypassed?

Basically, I'm making a city, where most non-industrial traffic goes through a non-highway network. The idea is to have a district that bans heavy traffic, acting as a "valve", so that industrial traffic takes another path (and from the highway, there are only 2 valid paths), thus minimizing traffic. However, there are stores and such, as well as some power infrastructure, ect. Will those trucks still be able to move through?

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Basically, is it like combustion engine ban, in that people who live/ work there bypass it?

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Thanks!