Interesting idea. This conceptual philosophy could remove many timers from the game and help stimulate the Craftsman economy.
Give me free rein, I could remove lots of timers from the game. I would just convert a significant portion of the 10-minute timers to "until removed" with options for removal including:
1) Appropriate removal effect (ie. Cleanse, Purify, etc.)
2) Spending one minute kneeling and miming appropriate removal actions (basically identical rules to First Aid or refitting)
I'd do that for any effect that currently has a 10 minute counter, but leaves you at least partially active (Weakness, Shatter*, Shun, Pin*, Drain, etc.).
For anything that completely immobilizes you or knocks you out, I'd leave the 10 minute counter (because maintaining a counter while doing NOTHING else isn't that hard) while allowing the following options for removal:
1) Appropriate removal effect
2) Another individual spending one minute kneeling and miming appropriate removal actions
For #2, Sleep used to have a clause that you could wake someone up by slapping them for a minute (it might still, for all I remember). I see nothing wrong with someone helping you out of Confine or Paralysis, too.
Heck, if you really want to shoot for consistency (I lean in that direction whenever possible), make 1 minute recovery the default that doesn't require a skill. Make 30 second recovery possible with an appropriate skill (ie. Blacksmith for Shatter, any weapon skill for Web, etc.). And yes, under this theory, everyone could perform first aid, but the First Aid skill would cut the time in half. And maybe even allow Craftsman to craft one-shot items that cut that time down to a 3-count for skilled people (adding a new use for various craft skills).
But that is all heavy theorycrafting and pretty off-topic. The simple point is that removing timers from the game isn't that hard, but would require a pretty major shift in rules.
-MS
*Yes, technically these aren't 10-minute effects, but they still adapt well to this (with serious rules modifications for Shatter).