Straight Talk LTE or False Advertising?

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http://androidforums.com – So, I was browsing the web in IE (thus no ad blocker) and I came across something rare. An ad I found interesting! Wow! The ad claims I can get an "unlimited" iPhone on Straight Talk and it has a nice little "4G" icon in the corner. I have been considering selling my phone and switching to Straight Talk for awhile now (I currently have Virgin Mobile). If I bought an LG Nitro (AT&T LTE phone) used, I wonder if it would work on the LTE network on Straight Talk? If not, how about AT&T's fake 4G network (HSPA+)? Assuming I get the right SIM card for the ATT network. (General)