Have you ever seen it work? User created SmartApps seem to work OK from that site but the stock apps seem to draw on completely undocumented features and be rather more tied to the mobile apps for their UI so I’ve never really expected them to do much.
I recall just once, that I was able to open STHM via web, post creation.
But you are right - when checking other stock apps - nothing to cry about if it is missing from web console. In application it works perfectly.
BTW - Noticed some changes there recently - upon clicking in web console the URL of STHM has more GET variables now.