OMG, yes. It would be wise to avoid depilatory creams altogether, in my mind.
It worked when I was 13ish, then, almost overnight it seemed, that changed and my skin began to react. Till the present it has continued to react very badly. My skin never burned - it would just turn black, then stay that way for a week.
It could be that these creams sensitize the body; it could be hormones…
Still, this doesn’t appear to be a one-in-a-million thing; a casual search on the internet would appear to bring up plenty of people with bad VEET / depilatory cream experiences.
Perhaps we should start a petition?