Foot speed as in running, with their feet :shrug: . I don't think the thread creator said base speed, because if he said base speed then Minato would still take it. Naruto takes it if it involves running and modes, and Minato takes it if it base speed or with the use of jutsus.
Part of your post argues for me.
A has naturally large chakra reserves and this is why it is possible for him to go faster than Guy. For every Gate, the user unlocks 10 percent more of their chakra that they can use all at once.
Because characters like Naruto, Bee, and A have such insane chakra reserves it will always be possible for them to use their chakra to run faster than someone with far less chakra. It is the facts laid out by Kishi.
Also if you want to use that idiotic quote then I will turn it around on you. Guy is faster than Onoki, fine, he is a kage, is he fast? What about Gaara? Are they strong or fast? It is retarded, and you still can't argue any of my points. I win, accept it so that we can move on.
One thing that you aren't taking into consideration is that the 8th gate is more powerful than all of the other gates and will, therefore, grant more strength and speed than the others would. It's also not as steady of a power boost as you say it is, where, even in the 8th gate, they only gain just another 10% of their chakra. There are functions that go along with the release of extra chakra.
1st:10% of chakra + they gain the use of all of their muscle power
2nd:10% of chakra + increases stamina
3rd:10% of chakra + increases blood flow and allows information to travel at a much faster rate along the nervous system(seems similar to raikages lightning armor, but probably less powerful)
4th:10% of chakra for strength and speed
5th:10% of chakra for strength and speed
6th:10% of chakra for strength and speed
7th:10% of chakra for strength and speed
8th:10% of chakra + causes the heart to beat at maximum power and exceeds the power of all the other gates
In the final gate Not only does he gain the rest of his chakra, but the heart also beats at maximum capacity. It is not speculation and is written down by Kishi as well.
About the quote, he will surpass all of the kage in speed and strength. It's not just a general statment about overall power as the gates grant speed and stength to the user. When saying greater than the kages, it means that he will surpass all of the kages in speed and strength, including speed demons(A) and monster strength freaks(Tsunade). The logic in this sentence goes like this:
When the user opens all of the gates, the user will be temorarily granted power greater than the kages. (Since gates grant both speed and strength, this is what categories the user will surpass them in.)
Since A is a kage, he will be surpassed.
In what category?
Since the gates grant speed greater than the kage, he will be surpassed in speed.
Therefore, Since A is a kage, he will be surpassed in speed.
Since Tsunade is a kage, she will be surpased
In what category?
Since the gates grant power greater than the kage, she will be surpassed in strength.
Therefore, Since Tsunade is a kage, she will be surpassed in strength.