Ensapa,
The self-immolators may think they are doing it for Tibet; of course sometimes people are confused into unhelpful actions.
I am sure Karmapa is doing all he can to help all living beings; if there is a way he could better tell people in Tibet he would; however, since these may not be Kagyus, and since they may have difficulty getting internet information, it might be that they would not listen to him, or it might be that they can't get the message.
Some of them might be, but I do not think that a majority of them do. They are doing it in hopes of being inducted in the hall of fame of the CTA, as we have discussed in this forum before on the reasons and purposes. There were people who were abbeting these self immolations, and that the CTA/TYC was behind them as their silence and passive behaviours were a dead giveaway that they were behind those incidents and they do not wish to upset the families of the victims because they were the ones who told them to self immolate.
I was saying more along the likes of Thaye Dorje visiting Tibet and doing work there...
While I have no idea if Karmapa (Thaye Dorje)'s activity would include a visit to Tibet/China at some point in the future, the fact that the Chinese government officially recognized the Dalai Lama's candidate would present something of a safe-travel concern, I would imagine. First of all, China has political reasons for wanting Urgen Trinley, the "Karmapa" that China recognized. Then, the blind Dalai Lama followers also have issues with Karmapa, because the Dalai Lama didn't recognize him, but rather backed the Chinese candidate (Urgen Trinley). So, as a Kagyu several years ago in India, I would experience Dalai Lama supporters almost spitting on me when they would find out which Karmapa I was with (because they won't let you walk by without asking half the time....). So as a regular person nearly getting spit on, I have to say I can imagine running into Dalai Lama supporters in China might be problematic for an important religious leader, and also, since China has its own agenda, which doesn't favor the Kagyu Karmapa then I am not sure how he is supposed to go there; that's two sets of people who are very motivated to be problematic.