This issue - the switch to plastic - seems to bubble up every few years (pardon the minor pun). When I was a puppy in my early years, last century, labs were already tossing around the idea to avoid potentially dangerous, sharp glass tubes. When broken, the plastic used for test tubes is also sharp, possibly worse that glass, as Malcolm suggests.
As others have mentioned, static is always an issue with the plastic version, rather than occasional with glass. Other than that, and in my experience, plastic test tubes tubes work almost as well as glass for serological testing. However, many "tube reagents" are not formulated for, or qualified in plastic. The Directions for Use/ Package Inserts may be restrictive.
Two points - personal opinion of a cranky old man:
1. One event does not indicate a trend - changing the whole system to address a single cut-finger incident is unreasonable.
2. The various safety apparatuses (however they be mis- or confusingly named) exist to limit institutional legal liability, i.e., prevention of legal action ("please don't sue us"). The workers' actual safety is often secondary.