1A) One man suggested that it was an ad for tea. The cup in the panda's
hand paw in fact says "tea."
UPDATE 1B): John Zhu and some other native-speakers of Chinese have said that the "freedom" implied by the term 自由 really implies the ease, leisure, and kicking-back approach to life with which Chengdu is associated. By this reasoning, the ad is speaking neither about bigger enclosures for pandas, nor wider political liberties for people, but simply a nice-and-easy vacation in Sichuan.
2) I have had a delightful and instructive introduction to the mysteries of language via emails like the two I list after the jump. Basically the pattern has been this: an expert on the Chinese language who is not a native speaker (linguistics professor, long-time resident, etc) writes to say: "Obviously the Chinese phrase means X..." The meaning of X varies from one expert to another. Then a native Chinese speaker will write in to say, "I dunno... could mean one thing, could mean the other."
3) And, with gratitude to all who wrote, my favorite reply was from reader KS who said that Subversive Panda "will be the name I suggest for my son's rock band, when he's old enough to have a rock band."
Illustrations of point 2, below.
Two notes that arrived within minutes of each other, back to back in the email inbox:
First, from an American in China:
I'm a mid western guy studying chinese in china, here four years now. [The Chinese sentence] 更多... 更多.... Does not have a causal relationship, because there is implicitly more 更多's that are not mentioned. Give you an example: 更多快乐,更多自由，更多耐心，更多愉快。 Lots of happiness, Lots of freedom, Lots of patience, Lots of happiness! There is no causual relationship at all.
Why? Chinese HAS a causual relationship sentence pattern 越有钱，越快乐。 The more money, the happier. The Yue character 越 has this meaning and is used for this purpose. [Yes, and this is a point of grammar that even I know!] Geng duo 更多 does not have this meaning because there is always the unspoken other examples, 更多A,更多B,(更多C, 更多D). Geng duo means, lots of, not "the more A causes the more B" That is the yue character. Just as if I say Lots of Fun, Lots of freedom. There is no causual relationship. There may also be Lots of charming children and lots of ice cream. But if I say, The more money I have, the more problems, there is clearly a causual relationship intutively understood by native english speakers.
I'm not sure how your Chinese friends answered any other way.
And immediately after reading the sentence above, I saw this in the inbox:
Native Chinese speaker here. I think both translations are valid, so it really depends on what the reader wants to make of it.
Similar illustrations here, including entertaining back-and-forth in the comments, from the wonderful UPenn-based Language Log. And I suppose if Barbara Wallraff among others can sustain years-long engrossing discussions about English nuances among (mainly) native speakers of English, it's no surprise that opinions will vary about even this brief passage in Chinese.