There is no proof grigorovitch can launch kalibr through its torpedo tubes. They need to make an upgrade and connect the tube to the kalib command PC.
Their 533mm calibre torpedo tubes are standardised... the 533mm torpedo tubes on their ships are the same as the ones on their subs... just the loading gear is different... they are designed to use the same ammo.
Look through the website I provided and tell me which torpedo is especially designed for use only from ships... you wont find any entry that states this 533mm torpedo or weapon can only be launched from a sub, because they design them to be launched from the launcher.
That is why in the video the torpedo splashes into the water and then travels a distance through the water and then launches out of the water instead of launching the rocket motor from the torpedo tube... it is designed to be fired underwater but can be fired from outside the water from a ship.
Accordig to your link also the submarine launched version is launched through the 650mm torpedo tubes and not through the 533mm. Which is contradicted by the fact that improved kilo launch their kalibr through their 533mm tubes. So your link is not reliable.
The link is the official export company of Russia... they sell this stuff to China and India... there is no more reliable source available.
Lets read what it says shall we?
The system is the Club-N integrated missile system:
Club-N missile system features standardized launch units and transport-launch containers.
Standardised by calibre. Not by whether it is being launched from a ship or a sub.
They have two current types of missiles that deliver a torpedo... 91ER1 which is a 533mm calibre torpedo launched weapon for subs and ships via their 533mm torpedo tubes, and a larger heavier 91RTE2 which is a 650mm calibre torpedo launched weapons for subs and ships now via either the 650mm torpedo tubes on a sub or the UKSK vertical launchers on subs or ships.
During the cold war the 91RE1 equivalent was called SS-N-15 and the 91RTE2 equivalent was called SS-N-16.
Some of their smaller ships don't have 533mm torpedo tubes and therefore cannot use this weapon but the Grigorovich does.
91RE1 anti-submarine ballistic missile (Club-S) performs a controlled flight to the target area. Its separable warhead is a high-speed homing torpedo with a sonar target seeker.
91RTE2 anti-submarine ballistic missile (Club-N) differs from 91RE1 missile in size and booster design
As you can see the 91re1 is just a conventional torpedo weapon launched from conventional torpedo tubes... whether from a sub or a ship.
The 91RTE2 has a booster design because it is launched vertically from UKSK launch tubes... the 91RT2 (note no E and therefore not for export, because they do not export subs with 650mm torpedo tubes) doesn't have a booster design because it is launched through a torpedo tube...
The torpedo tubes for exported ships will just use standard 533mm torpedoes because for them to be effective you need to be able to detect enemy subs 30-50km away, and most countries couldn't manage that anyway...
Russia expects to be able to fight NATO and as Mindstorm mentions this is a sneaky way they can one up those arrogant assholes.
It is actually rather hilarious...