Time is money, or are you going to waste it?

2. Time passes during combat

I agree with the first aspect, but the second one is not correct. I'll explain now. It's no secret that there are strong towns and weak ones; Inferno is one of the weak towns, and if we weaken it even further this way (essentially removing demon farming), then nobody will play it at all — in other words, we'll remove it from the game! But ideally, all towns should be at least roughly equal, otherwise why have restrictions (Conflux, Necro) in the rules? Never mind Inferno, we'd also significantly weaken a number of other towns in the process, and buff, say, Rampart, and then we'd have Rampart vs Castle games with no alternative. To bring these weakened towns back into the meta, we'd need to change the gameplay, which brings us to WoG. But WoG is no longer SoD — roughly speaking, it's "not the same thing" (then come arguments about what's better or worse). In short, we end up in a vicious circle.
In my opinion, the ideal would be to have a chess timer, with combat time starting after a minute; one minute would be enough for demon farming and would make things a bit easier against rushers, and the player wouldn't be under constant stress from watching the ticking timer.