Thanks for your comments, xdude and jmizzle7.
If you use Ivalmian's rainbow deck or Puppychow's rainbow deck (it's nearly identical to what I made in 1.15 and 1.16), you will do fine.
I had tested Puppychow's deck before. Yes, it is a great deck, it sometimes shows very fast setup with 6 super novas. I could beat those easier gods (gods with weak or no permanent cotrol) a bit more and faster, compared to my own deck. But still, there were troubles against those tough gods I've mentioned.
I tried test matches with this deck in February, and my results are here (win-lose):
Divine Glory(3-7), Rainbow(0-10), Obliterator(2-8), Hermes(3-5), Graviton(2-7), Octane(0-8)
Well, 10 matches may not be enough, but it took so long that I could not completed tests for some gods.
Also, since it is difficult to keep my motivation for winning when fighting tough gods as a test, these figures may be worse than actual game.
For Divine Glory, I beat him three times in a row, while he did nothing but putting his towers, so maybe thanks to RNG.
I was shocked that Rainbow overwhelmed me. It is ok that he sometimes rains his Explosions on my permanents, because that will happen sometimes.
A single Steal on my hourglasses ruined my chance of winning. That's what happened.
I had not tried Ivalmian's rainbow deck, so I've been testing his deck since your suggestion.
After a couple of matches with his deck, yes, it is a fast deck as he says so, but seems to be less consistent.
(I can't talk about consistency of a deck with only a couple of testing, though)
It is a very interesting deck. I'll keep working on this to improve my own.
Seriously, 40% is nothing. I'm pretty sure you pulled that number out of thin air. Both Puppy's and Ival's decks have over 60% winning rates. Use them.
Well, there's no ground about that figure(40%), it just seemed to me a viable target on building a versatile deck.
Please note that it is not an overall winning rate against all gods(yeah it is currently 60% or so with my own deck), but against tough gods with strong permanent control.
I wanted to know if there's a deck which is good at in the latter.
Anyway, thanks for your suggestions.
Now I feel my words in the title are too much.
Through reading your posts and writing my posts, I came to think about many things.
I might be seeking something that do not exist.
Lastly, getting back to the strong permanent control issue, my current observation goes like this;
There are decks that are almost immune to permanent control, like beat down decks and full burn deck.
These non-control decks which are not dependent on its permanents could be the answer to the gods with strong permanent control, like slow control decks such as rainbow are the answer to gods with strong beat down.
Sadly, these non-control decks can not survive Lv.6 environment, mostly due to the boosted HP of FG.
Thus most types of decks (except control rainbow and mono aether) that the game could afford were eliminated in the highest stage of the game.
That's why I see nothing but many variants of a single type deck. Gods that are hard for the single type of decks are regarded as tough. A change in a single card drastically cuts off winning rate of all players.
There's no diversity in Lv6 category. Diversifying stats(HP, draw and Mark#) of false gods might bring some room for currently eliminated decks.