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If the sidekick kills a same (new) lvl minion solo (i.e. one lvl below me) then he will get the exact same exp as he would if he was not sidekicked and killed a same lvl minion.
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...which is less than what he would have gotten for killing that same minion while not sidekicked. A level 25 hero taking down a level 25 minion gets more XP than a level 20 hero taking down a level 20 minion - and a level 20 hero defeating a level 25 minion gets substantially more than either of them.
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This is just the way the sidekick system works. If you are lvl10 and kill a lvl10 minion, you get, lets say 100 exp (not accurate), if you are then sidekicked to be at combat lvl35 and kill a lvl35 minion, you get exactly the same, 100 exp.
Thats the way it is, otherwise if you were getting 1000 exp as a sidekick it would be a huge exploit for quick lvling. The exp scales down to your actual combat lvl.
If that same hero killed a villain 3 lvls above him (sked or not) he would get say 300exp either way.
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I don't know what it did to the rest of the team's XP (if anything), but I do know that the second time I ran Sister Psyche's TF, I was sidekicked in the first mission, because I was 23 and didn't like the look of the 26s that greeted us. The second mission started with 25s, so I dropped the sk. Before long, we were back to 26s and I was getting more XP for them not sked than I had gotten in the first mission while sked (and nobody had dropped out of the team), so that looks pretty clear to me that being a sidekick reduces the XP you get for any given foe.
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You are confusing the sidekick system with the general XP system. All the sidekick system does is artificially increase your combat lvl and all your powers etc to that lvl. It then scales th exp down to your actual combat lvl. In your example you are lvl23 killing lvl26s which is a +3. If you were sidekicked to be lvl25 then the enemys would only be +1 so you would be getting exp as if you are killing lvl24s (which is +1 to your actual combat lvl).
So yes in your example, you would get more exp to be a lvl23 killing +3 enemys, rather than a sidekicked lvl25 killing +1 enemys. But if you cant hit the bad guys then maybe you should take the XP hit for the team and be sidekicked.
So to try and summarise what happened in your missions...
In your first mission you were sidekicked to be lvl25 (I presume) and so was getting XP for enemy+1.
In your second mission you were not sidekicked and so was lvl23 and getting XP for enemy+2 (more than the first mission).
In your third mission you were not sidekicked and so was lvl23 and getting XP for enemy+3 (more than the second mission).
Anyway Im rambling. My point is that the XP you gain is relative to your actual combat lvl and the enemys lvl. Sidekicking is just a way to artificially increase your powers etc so that you can be usefull to higher lvl peeps.
And a final summary of the summary..
Sidekicking does not penalise your xp. But if you are killing enemy+3 unsidekicked, then start killing enemy+1 sidekicked, you will obviously get less XP. That is the way of the XP system.