It's a lot more difficult to jam short wave than GPS because of multipath propagation. The Soviets routinely jammed Radio Free Europe / Radio Liberty yet it was still possible to listen to it. The navy doesn't have to be on the fixed frequency, so jamming it is going to be even harder.
Radioelectronic warfare has come a long way since then. Russian Air Force was able to successfully disrupt both the communications and AEGIS on USS Donald Cook in the Black Sea with just one fairly lightweight and otherwise unarmed Su-24 plane outfitted with their current suppressive gear. Pentagon of course denies this happened, but Donald Cook left the Black Sea in a hurry after that. Likewise, the deployment of electronic countermeasures in Syria impeded US attacks on Syrian Government forces several times: https://www.armyrecognition.com/october_2018_global_defense_...
Jamming of shortwave was only partially effective in the USSR for several reasons:
1. They didn't want to jam _all_ shortwave broadcasts.
2. The receiver was very far away, far beyond where the receiver would be in a typical battlefield situation. By definition, if the disruptor is able to saturate the frequency band of the transmitter with a comparable amount of energy, multipath transmission won't help. And if the signal is wide band enough, frequency hopping won't help either.
Please refrain from posting Russian propaganda on this website.
- the Donald Cook incident was invented out of the whole cloth by Russian botfarms. There is no serious source for that story apart from a small deranged outlet which can't possible be a primary source. Please evaluate your sources critically before making such claims.
- your claim about "US ops being disrupted by Russian electronic countermeasures" isn't supported by the link you posted. Moreover, stilted language and characteristically Russian context ("young specialists"? What on earth) suggest that the website is one of the many operated by Russian psyop teams.
Upon a more careful check, Donald Cook story does appear to be bullshit.
But Syria story is legit: https://www.yahoo.com/news/russia-attacking-u-forces-electro.... Quote: "Russian and Syrian regime forces are testing us everyday, knocking our communications down, disabling our [EC-130 aircraft]." EC-130 isn't just some bullshit aircraft either, it's a radioelectronic warfare plane.