Although carrying the same designation, especially Oscar and Ohio subs are really different in missions, however.
I believe the Oscars, to this day, continue their sole role as SAG / CVBG killers with anti sub or heavy anti-ship missiles. Those 24 P-700 are quite a massive punch to be thrown at a target.
Exact heavy anti-ship missiles in fact a monster as also SS-N-3/12 but he last better electronic leader missile guide all the burst and if it is destroyed another replaces, unusual system
One attack against a US CV would have involved several Oscar, Echo II or others SSGN/SSG with Tu-16/Tu-22M about 100missiles and that is counter this saturating attacks that the AEGIS system was built one ships with it can engage about two or three times more targets simultaneously as more old CG to make simple, in general 2 by CVBG.
It is also noteworthy that new AShM Brahmos in fact a SS-N-26 update more accurate seems despite the improvements are much less powerful as SS-N-3/12/19, AS-4/6 warhead max 300 kg others 7500/1000 ... and for range also new max 300 km Soviet about 500 as Tomahawk AShM then LRASM which is the only new missile built before 20+ years to have a very long range allows a much more effective attack against CV which get a big escort ofc but mainly figters in CAP with E-2 protect at same range about.
The Ohios on the other hand are perhaps the "small scale", but stealthy, version of the arsenal ship idea, capable of (partially) overwhelming land based defenses with swarms of LACMs.
The Yasens seem to be the first subs having true multirole SSGN capability within their hybrid SSN/SSGN role, using the multimission Klub missile.
The Block V Virginias may go there, too should they also field the new LRASM in their VPMs.
No Klub/SS-N-27 Sizzler is not multimission. But difficult with Klub falily for know :
3M54E / P-900 Alfa / Klub-S Submarine-launched Anti-Ship missile subsonic
3M54E1 / P-900 Alfa / Klub-S Submarine-launched Anti-Ship missile supersonic
3M54TE / P-900 Alfa / Klub-N Ship-based vertical launched Anti-Ship missile subsonic
3M54TE1 / P-900 Alfa / Klub-N Ship-based vertical launched Anti-Ship missile supersonic
Supersonic get a warhead more small because carry more fuel to go to this speed then less space and a warhead more small.
3M14E / P-900 Kalibr Land-attack cruise-missile and 3M14EE/TE / P-900 Kalibr almost identical except FRAG-HE or submunitions for warhead.
One other ASW but i presume no in service actually 91RE1 Biryuza/91RE2 Biryuza almost identical also.
Russian media brag particulary Russia Novotsi Kaliber get a range of 3000 km ! absolutely wrong, 275 km.
Take a look in PDF, 2005 but great !