One thing that does cloud the waters is that the private channels in Venezuela, which get about 80% of the viewers, are virulently anti-Chavez, and they demonize of Chavez in the same manner as FOX vs Obama. A lot of the stuff about Chavez is easily fact-checked, and is complete rubbish, which tends to make it difficult to sift the crazy stuff from the legitimate criticism.
Think if every single American channel was FOX News spewing Obama hate 24/7.
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The one big human-rights thing every anti-Chavez website / news source points to, is that his government didn't renew the broadcast license of RCTV in 2007. But the stated reason, which is highly transparent given the amount of relevant TV footage, is that RCTV was directly involved in planning, and executing the coup in 2002, some admirals etc, even went on a talk show on the channel the day after the coup and thanked the network for their assistance.
But RCTV wasn't even shut down, and they waited until their terrestrial broadcast license expired, and just didn't renew it. So not quite the same as "shutting them down", and specifically done in a completely legal, and constitutional manner. No government has a legal obligation to renew broadcast licenses to particular companies, especially if that companies executives have used the license to commit high treason.
And even now, they're still allowed to broadcast on cable and satellite, and none of their directors are in prison or anything - does that sound like a "heavy handed" way to deal with an organization which openly tried to overthrow the constitutional government?