Hrm, had never seen this, but a quick Google search turns up this issue:
https://github.com/docker-library/busybox/issues/80
And as I think the Prometheus docker images are based on busybox, this
might explain the wget problem.
I don't think a missing openssl implementation would cause issues for
blackbox_exporter, as it uses Go's http/tls stack, as far as I
understand. However, it might still rely on some default certificates.
I suggest trying to get more blackbox_exporter logs and maybe trying to
place a (relevant) ca bundle in the proper paths.
This article may also help:
https://www.robustperception.io/debugging-blackbox-exporter-failures
Kind regards,
Christian