Another more surprising impact for you is that your ssh connections would, counterintuitively, die more often.
That's because Tor has a LongLivedPorts option, where streams for those destination ports use circuits with all Stable-flagged relays, and 22 is in the list but 443 is not:
LongLivedPorts PORTS A list of ports for services that tend to have long-running connections (e.g. chat and interactive shells). Circuits for streams that use these ports will contain only high-uptimenodes, to reduce the chance that a node will go down before the stream is finished. Note that the list is also honored for circuits (both client and service side) involving hidden services whose virtual port is in this list. (Default: 21, 22, 706, 1863, 5050, 5190, 5222, 5223, 6523, 6667, 6697, 8300)
And re .onion services, it's interesting that OnionCat port 8060 isn't on the list.
Nice. Considering all that is, and can be, stuffed over OnionCat, including the above, 8060 could probably be added to the list. Similar could perhaps be said for any tunneling protocols... OpenVPN, etc.