A bit of progress. I have tried LazSolutions. This time at least I get a response. But the response is a redirect to the very same secure server, not the actual content:
<html>
<head>
<title>Redirect to UvicDspace</title>
<meta http-equiv="refresh" content="2; URL=https://dspace.library.uvic.ca:8443/">
<meta name="keywords" content="automatic redirection">
</head>
<body>
If your browser doesn't automatically go there within a few seconds,
you may want to click
<a href="https://dspace.library.uvic.ca:8443/"> here UvicDspace</a>
</body>
</html>
I must be missing something, because I believe FPC/Lazarus should be able to do this. I am not prepared to give up... just not yet.