Our PW director says that he needs to top the trees because our pits are too small. I am not so sure.
You are correct to question whether the trees should be topped off, especially for the reason given: "pits are too small". That is outdated thinking from the 20th century; it is no longer scientifically supported by arborists with professional and/or academic credentials.
The "21st century" thinking:
If the pits are too small for new trees you're thinking of planting, then get different species of trees. The new trees might be either:
(1) Smaller and/or narrower when they are "adults", or
(2) Of species that have much deeper tap roots - and fewer flat (or "horizontal" or "lateral") roots.
Gedunker alluded to (1) and wrote about (2):
... . . We also spec trees that will be comfortable in a tree well that size, and that tend to set deep roots rather than horizontal roots systems.
A diagram might be useful: that is, look for tree types that have the 1st tree's root system, and avoid tree types with the 3rd tree's root system.
BTW- "
Tap Root" is an official term used by arborists.
("Net Roots" and "Flat Roots" are more informal lingo.)
Useful tip: It's helpful to familiarize yourself with the role the
Tap Root plays.