tape drive was
1.. install OS (long step)
Hmm... It should be trivial to have an image hosted on tape and only need a boot disk to get to it.
That said, I wouldn't suggest it. You're faster doing it the way you were doing it. The read speeds are much higher than you'd get with tape - but it would be possible. You could even put a self-booting Acronis image on a tape, if you so desired. (Again, I'd not do so.)
Tape these days is delegated to cold (or vault) storage. When your business requires data retention for 20 years, it goes onto tape and gets sent to one of those warehouses built in an old salt mine. The cloud isn't reliable enough and is too expensive for that, plus it'd be a ton of bandwidth - which is expensive in and of itself.
In the enterprise sector, storage is done in tiers. If you need it immediately, it's on the main cluster of servers. If you need it in an hour, it's on the NAS. If you need it in a week, it's on servers at the main office. If you need it for a government audit, it's in cold storage and may take an entire month to retrieve.
While that may seem silly, it's also for good reason that your average desk jockey doesn't have access to those files. That whole 'least permissions' thing is an important concept even outside of security clearance.
Something like that, at any rate...
I've expected tape storage to die any time now, but it just keeps on going.