I also use Neutrik Silent plugs without problems. I solder those myself - I don't buy pre-made cables. As others has stated the spring there isn’t so strong as to push the jack out of the socket.I guess to each their own. I’m not a fan. Standard cables don’t give me any trouble. At least one other person has said they are not durable, and they are not reliable to me.
But we all have different experiences. And if standard cables works for you - that's the way to go. People have used standard jacks for more than 60 years now.
But I also think that it is jack output in your guitar that needs to be looked into. Have you tried that?