In that case you remove your tape or other obstruction before the inspection and put it back right after.
The police in New York support this kind of obstruction when done by the right people. The person quoted in the article removed an obstruction from a license plate of a car parked on the street. The driver called the cops, who took the side of the person evading traffic law.
There are plenty of cars in my neighborhood that are patently unsafe by the city and state's standards, or are modified in ways that wouldn't pass inspection. Many of them belong to cops, who drive into my neighborhood to police it from outside of the city.
[1]: https://www.nyc.gov/site/nypd/careers/police-officers/po-hir...
[2]: https://gothamist.com/news/majority-nypd-officers-dont-live-...
you could just make it readable prior to inspection then make it unreadable again.