No flips for you!
I don't think you've embraced how Dungeon World is supposed to be run, and have imported other games' ways of play and understanding into how you're doing it. Of course, if you're having fun, great. But it does make it hard to discuss games when your experience of DW is pretty much like normal D&D in pacing and control but a little bit freer and with different mechanics. Point of order, the entire situation you presented with the Wizard doesn't fit at all with Dungeon World. How is that filling the character's life with adventure? Your statement that you have to be careful with pressure is very understandable, and commendable, but that immediately suggests to me that Dungeon World, or any PbtA game, is a bad fit with that requirement. DW games are all about relentless snowballing of situation -- this is what the game is meant to provide and where it's absolutely singing along. The downtime stuff you're describing, of low stakes, low impact, low risk stuff is not where DW is meant to be run, and I'd largely bet that you have to do a huge amount of work as a GM (and that's what was apparent in your example, to me) to make this part of the game work.All of the action of my current game has occurred over the span of approximately three months, maybe four. (In-game, that is. Out of game we're over three years now.) "Down time" is maybe a week at most, usually no more than a day or two. There are just plenty of journeys, visits back home, hobnobbing with royalty (or a certain thief-prince), etc. Given these characters have gone from green and wet behind the ears to seasoned adventurers who have the Sultana's ear (and have spent more money collectively than most wealthy merchants bring in for a whole year), I'd say I'm not letting too much slack. There are just the occasional times when the big fires have been put out recently enough that they can take a breather and do things purely out of interest, curiosity, or passion. (As noted, this usually happens in the immediate aftermath of making some big score or otherwise achieving some major goal, though it can happen, and has happened, at all sorts of times over our years of playing.)
I don't push my players too hard 'cause several have anxiety, but they know well that an ignored threat grows stronger, more difficult, more entrenched.