Mozilla extensions, no matter what the download site says, are served through this URL:
http://releases.mozilla.org/pub/mozilla.org/addons/NUMBER/EXTENSION_NAME.xpi
But, here is the thing: releases.mozilla.org
is load-balanced through DNS, it's used like a Content Distribution Network. Here is the dig result:
;; ANSWER SECTION:
releases.mozilla.org. 60 IN CNAME releases.geo.mozilla.com.
releases.geo.mozilla.com. 60 IN A 216.165.129.141
releases.geo.mozilla.com. 60 IN A 64.50.233.100
releases.geo.mozilla.com. 60 IN A 64.50.236.52
releases.geo.mozilla.com. 60 IN A 64.50.236.214
releases.geo.mozilla.com. 60 IN A 128.61.111.9
releases.geo.mozilla.com. 60 IN A 129.101.198.59
releases.geo.mozilla.com. 60 IN A 131.188.12.212
releases.geo.mozilla.com. 60 IN A 155.98.64.83
releases.geo.mozilla.com. 60 IN A 156.56.247.196
releases.geo.mozilla.com. 60 IN A 204.152.184.113
releases.geo.mozilla.com. 60 IN A 204.152.184.196
releases.geo.mozilla.com. 60 IN A 204.246.0.136
releases.geo.mozilla.com. 60 IN AAAA 2001:6b0:e:2018::1337
Those are all the IPs that domain can take, you can hit a different server every time you use the URL. They are all different servers, usually hosted in various universities around the world.
And here comes the problem:
The result of tests I did just know confirm that none of these servers supports HTTPS connection.
So if you blindly try to reach https://releases.mozilla.org/pub/mozilla.org/addons/NUMBER/EXTENSION_NAME.xpi the request will fail, or will take too long because some of the servers don't immediately refuse the connection so it has to time out.
time wget https://releases.mozilla.org/pub/mozilla.org/addons/138/stumbleupon-3.81-fx+sm.xpi
https://releases.mozilla.org/pub/mozilla.org/addons/138/stumbleupon-3.81-fx+sm.xpi
Resolving releases.mozilla.org... 129.101.198.59, 131.188.12.212, 155.98.64.83, ...
Connecting to releases.mozilla.org|129.101.198.59|:443... failed: Connection timed out.
Connecting to releases.mozilla.org|131.188.12.212|:443... failed: Connection refused.
Connecting to releases.mozilla.org|155.98.64.83|:443... failed: Connection timed out.
Connecting to releases.mozilla.org|156.56.247.196|:443... failed: Connection refused.
Connecting to releases.mozilla.org|204.152.184.113|:443... failed: Connection timed out.
Connecting to releases.mozilla.org|204.152.184.196|:443... failed: Connection refused.
Connecting to releases.mozilla.org|204.246.0.136|:443... failed: Connection refused.
Connecting to releases.mozilla.org|216.165.129.141|:443... failed: Connection refused.
Connecting to releases.mozilla.org|64.50.233.100|:443... failed: Connection refused.
Connecting to releases.mozilla.org|64.50.236.52|:443... failed: Connection refused.
Connecting to releases.mozilla.org|64.50.236.214|:443... failed: Connection refused.
Connecting to releases.mozilla.org|128.61.111.9|:443... failed: No route to host.
Connecting to releases.mozilla.org|2001:6b0:e:2018::1337|:443... failed: Network is unreachable.
real **9m31.370s**
It took 9:30 minutes for the request to finally fail (I don't have IPv6 connection right now so I don't know if the last server supports it, but I doubt it).
For third party verification this helps: https://www.ssllabs.com/ssldb/analyze.html?d=releases.mozilla.org
Just to make it clear: Extensions like HTTPS Everywhere will not work - in fact I tested it and the addon is still served through HTTP (it does not rewrite releases.mozilla.org - if it did, you wouldn't be able to get the extension.)