Naruto official databook by Kishimoto:
Rain Tiger¹ at Will Technique (雨虎自在の術, Ukojizai no Jutsu)
Ninjutsu, No rank, Supplementary, All ranges
User: Pain
Is this heavenly net of rain, falling down and enclosing, the tears of a god grieving for his village?
A perception ninjutsu, allowing one to freely manipulate rain infused with the user's own chakra. In the village of Amegakure, it rains each week on Sunday... This rain falls from rain clouds, formed with Pain's own chakra. During this technique, the falling raindrops are closely linked to pain's senses. When the rain is obstructed by a chakra belonging to someone not of the village, the existence of the intruder can be detected. Also, in order to function in the "place" where the technique was invoked, the rain will keep on falling until Pain uses the seal to cancel it. Therefore, when Pain leaves the village, he always uses this technique, keeping a close eye on the village of Amegakure.
[picture of Pain using this technique]
→When Pain unleashes the technique, the rain falls. The hunt for intruders begins...
Covering the village is a strict, vigilant net!!
[picture of the rain falling down on Amegakure]
↑The rain seems convenient for infiltrating. However, it is a definite trap.
¹ The tiger is well-known for its ferocity and watchfulness. It keeps a very close guard on its cubs, watches vigilantly for an opportunity to catch its pray, and walks huge distances to patrol its territory.
Sealing Technique: Phantom¹ Dragons Nine Consuming Seals (封印術・幻龍九封尽, Fuuinjutsu: Genryuu Kyuufuujin)
Ninjutsu, Fuuinjutsu, S-rank, Supplementary
User: Pain
The captured jinchuuriki² are generally sealed inside this giant statue!
The users are ten of the greatest shinobi. With all members deeply concentrating, the sealing statue is started up and with the "absorption chakra" released from the mouth, the Bijuu's³ chakra is extracted and then sealed. The chakra of the "Bijuu" is massive; the invocation of this technique spans several days, even for Akatsuki-class users. For regular shinobi, even just starting up the statue would be impossible.
[picture of the nine dragons emerging from the statue's mouth]
[pictures of the statue's eyes opening]
←↑The "absorption chakra" is shaped into nine dragons and the chakra of the "Bijuu" is consumed and sealed. After the sealing is complete, the statue opens his eyes.
¹ The "gen" in "Genryuu" is the same as the "gen" in "genjutsu". It means "phantom" or "illusion" and although it is usually translated as "illusion," I went with "phantom" here since it fits better in my opinion; although the dragons are ethereal, they are not illusionary.
² Jinchuuriki (人柱力) means the "power of human sacrifice". They're the hosts of the Bijuu.
³ Bijuu (尾獣), the "Tailed Beasts".
These two techniques have nothing to do with gravity and yet the main Pain uses them.
So in other words, the konoha nins were wrong when they concluded they could only use their powers. One of the Pains using something other than his powers is enough for us to conclude that they were wrong.And ofc they can use the substitution jutsu, they can also walk on water and probably do a bunch of other basic ninja moves