Debugging for Elisp threads?

Question

Let's say some package does

(make-thread
  (lambda ()
    (message "Started thread.")
    (error "Fit happens.")
    (message "Finished thread.")))

Regardless of M-x toggle-debug-on-error, the error will be silently ignored. Even on

(thread-join (make-thread ...))

the error will not be handled in any manner. (thread-last-error) can give access to the error object, but it is subject to race conditions.

Is it possible to run the debugger instead, when there is an error in threads?