As the title says, I believe that Stock Syringe and Stock Melee should be able to first make an opponent bleed instead of mini-crit or crit for the former while the latter should be able to mini-crit those enemies. I also believe that any full crits done by the stock melee lose 50% Uber. Every other Melee and Syringe Gun should not have these features, but these should because Stock Medic is kind of not well-rounded in his kit. And while I still want to keep the focus on Healing instead of combat, when you get close to a Medic and you are just begging to be hit and punished by this psychotic doctor, you should be dead as much by him as by any other member of the Team Fortress Mercenaries. So, mini-crits do 5 seconds of bleed damage, and normal full crits give you 10 seconds of bleed damage, so just switch on over to the stock melee, walk up to the enemy, and give them a nice swing. Of course, this would only apply to stock Melee as if this Axetinguish trait were to be applied to every single weapon, it would quite frankly overshadow stock though if Valve were to end up testing my idea and then making it universal I would not mind that. I would genuinely not mind that.
I also believe that Syringes should have their damage capped and set to 5 damage per syringe, every single Syringe Gun now varies in weight by becoming lighter, having faster firing, faster reloading, and a stronger effect of what they do the more Uber they get (This last one excludes the one that already gives you more speed). I believe that after Medic works hard to be able to have a high enough Uber to lose, I want Medics to be approached with hundreds if not thousands of options after they have full Uber, but it all stems from the same place. "How would I like for my enemy team to die." These buffs would not overshadow the Crossbow, as I think that that one gun should be the long-range healer that it always is. Instead, what it would do is give Medics the ability to be able to fight alongside their team should the need arise, especially if the Medic's team is not exactly in a protective mood. If you have a full-ubered syringe Gun and you want to shoot anyone who is giving you problems down, then you can do so and probably reliably kill them all if your aim is good enough. However, just remember that you are still firing Syringe Guns, so if a teammate comes by to swallow up your projectiles, or the enemy team out-damages you with their burst damage options, unlike your constant stream of fire, congratulations. All you have done is lose an Uber push for your entire team.
So you see, I have this all planned out. There is a legitimate risk and reward system at play here, and Stock Medics can have fun having a new layer of strategy to their gameplay without wishing that they could have the money necessary to buy the best weapon in the entire game. All I want is for Stock Medic to be more fun and to be able to lightly encourage a "Battle Medic" playstyle by rewarding Medics for doing their job effectively (because of how Uber charging works mechanically in the game). This would also get Medics to subconsciously learn how to Uber build effectively before they get the Crusader's Crossbow because they would love to be able to use their other tools and learn how they work.