You have completely modified the words to your liking in the post. The scan specifically mentions "I or my Chakra are touching". Your statement is using the term connection, "connected to his chakra without contact." This itself is extending the FTG features, when Minato has not stated that at all. He has specifically used the term 'touch', which means a direct contact, not an extension of his chakra. You are completely incorrect here and so are the 1 and 2 pointers to justify this logic. The term touching would mean his Tag as it's made up of Chakra.
That Gaara statement is a half-hearted logic as ALL the sand around that area, including the one in Gaara's gourd was lightened by Onoki -
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. Henceforth, this argument is completely non-debatable.
Kurama was teleported because it was directly under him. Also, he may as well have thrown a Kunai on the Fox's head - touching an object with his chakra. If he CAN teleport himself out, he should be able to teleport objects marked with FTG Kunai or tags elsewhere as well, like himself. We never saw him do anything, so this part is speculation. It basically defeats the whole purpose of FTG which is supposed to be point to point teleportation of Minato teleporting to his Kunai. If he does have a range, then every time he teleports, other objects should teleport with him, regardless of his intentions, because whatever is within range, gets teleported.
He simply should have teleported Bee with him, together with Ae when they attacked as they were within his range, in fact mighty close. This would have given Konoha such a large edge. Through out that fight we saw Minato teleporting exactly to the Kunai, never attempting to teleport Bee or Ae. This isn't as simple as you believe.
Even if for a second I do believe you, then Susano'o is directly linked to the users chakra. He isn't teleporting any Susano'o user out of the Chakra manifestation, as it's directly linked to the user. That Gaara link you posted, proves this.
As for teleporting Sasuke and Susano'o because he was not in contact, then there is a very very simple explanation for that: KCM. We saw this with Naruto:
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. KCM Chakra does have a certain radius as it effected the area surrounding Naruto, when he was not touching it at all, which means he exudes chakra within a certain radius. Which means, since Minato is using KCM now, his chakra shroud should/would behave in a similar manner, which would explain WHY he he was able to teleport Sasuke and Naruto if he wasn't touching them.
You should not drop this out of your analysis as his KCM IS the most crucial point here. Anyhow, pretty good thread. Despite my disagreement, this was the best thread out of you.