not while following enemy ships' movements!
Most shipping moves at about 12-16 knots most of the time. Subs hunting western ships or carrier groups can use satellite information to get into position in front of a target group. the missiles themselves handle the attack with the leader missile flying high and gathering target information and then dropping down and sharing its radar image of the carrier group and then allocating missiles to targets as required based on target size.
All the sub has to do is launch a volley of missiles... with Granit it could be two volleys of 12 missiles or one volley of 24.
With newer missiles like Zircon it might only need to launch half a dozen missiles at an enemy carrier group to "break it".
raising comm antenna may be detected before it's lowered again- all of NATO+Japan has many MPA, UAVs & ASW helos to prosecute subs.
Trailing a cable antenna a kilometre long and it can communicate with satellites at operational depths.
The Tu-142 has a 3 km long cable antenna it can drag for the same communications in extremely low frequency signals... (ELF)
even if it was, it's the biggest of all subs since the Typhoon SSBNs been retired, making more turbulence thx to increased H2O resistance.
And flying at mach 3.2 means the SR-71, which is not a small aircraft, is subject to enormous drag and compression induced heating makes it dangerous to touch when it lands after flying at top speed. Doesn't make it a slow plane despite enduring more drag than most other aircraft are naturally subjected to.
it's possible, but the UK has bases on its islands there & Swedes/Germans/Spanish/Italians/French can send their SSK/SSNs to track it 24/7
The SSKs wouldn't have the speed nor the endurance to keep up and I rather doubt they would have the sensor range to find it or keep track of it for very long either...
More efficient to use them as escorts or sentinels in the N. Atlantic/Pacific/Med.Sea to augment newer SSN/GN subs.
You say they are noisy, so you want to compromise the stealthiness of their new types by having a noisy sub follow them around?
The missiles this sub carries means it can handle entire battle groups or land strikes all on its own.
Even armed with nuclear armed Kh-102 missiles with 5,000km range and a nuclear payload... 72 missiles in the vertical launch tubes would be devastating to many countries.
or warehouses full of arms/production of drones.
The point is that they wont be making new ships with Granit or Vulcan or Moskit, so keeping them in storage for the future makes no sense.
With a nearly 1 ton warhead for the first two and significant kinetic energy for all three there are probably a few targets they could be used against that would free up naval missile storage space for new weapons. A bit like using 25mm naval guns and naval gun ammo in the ground to ground role because it is already paid for and can do a good job.
or they could cut off the missile section on retired Oscar & bring it to the Azov/Caspian Sea by rivers before launching them, if the entire sub is too big to sail it there.
Probably would be easier and cheaper to mount them in vertical launch ramps on a river barge... or old cargo ship.