Frog Katas can also kill you with one hit. Besides, Jyuuken didnt even touch Kidomaru at first becuase of his golden armor.
Not to mention that it also has other props. ->
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Frog Katas is deadly becuase even with Doujutsus you cant see the attacks. They can see chakra, not pure natural energy.
The concept of Frog Kata is that the natural energy that you take in increases your speed, strength, durability, etc. It doesn't change the fact that it can still be blocked or even avoided if the opponent knows what Frog Kata is and what it can do. In the end, Frog Kata is more like Goken than anything else. It's a style that causes
external damage by physically breaking bones and causing damage on the surface.
Those props as you call it don't come from
Frog Kata. Sensing danger and the likes come from
Sage Mode itself. This is Jyuken vs Frog Kata. Not Jyuken vs Sage Mode. It's from the natural energy that they take in and use from around them. Frog Kata is the
style of fighting that Sage Mode users use once they gain the perks
from Sage Mode.
Jyuken on the other hand is something entirely different. It causes internal damage that is near impossible to shield from unless you have some sort of armor that restricts chakra passage - Kidomaru's golden skin for example.
Frog Kata can crush boulders and use invisible strikes, but it doesn't change the fact that at the end of the day Jyuken is more deadly style of fighting.
It's not always about what packs the biggest wallop.
It's about can kill you most effectively.