I'm not an offline player, but I still remember fighting the computer and something tells me there won't be any problems with that.

The problem is to defeat it before your opponent does.

Added 4 minutes later

In offline Tournaments, the point isn't to win against the computer, but to complete a specific task. Playing against the computer is random.
But if you're clever and brave, and you want to host a Tournament, then go ahead, because there haven't been any Tournaments in ages.

Actually, the goal of the proposed format is to defeat the computer as quickly as possible. Because usually it's about collecting something, completing a task – that's all usual! And I haven't hosted offline Tournaments for a while.
Having a starting save will give us equal conditions (like in regular offline Tournaments).
I'm more concerned about the interest and availability (on other resources) for such Tournaments.

There's also the possibility of hosting an open semi-offline Tournament with an arena (there used to be such Tournaments). When, over a period of time, each player levels up a hero on a map in offline mode, and then the heroes are transferred to an arena and a battle takes place between them in online mode.