Oh... if only that were true... H4H is only marginally linked to trophies. Think about it:
What is a trophy to an H4Her: An intangible reward used for self-affirmation that makes you look good on your PSN profile
What is a heart to an H4Her: An intangible reward used for self affirmation that makes you look good on your LBP profile.
What is the difference: You can reach a point where you have all the trophies. You can never reach a point when you are forced to stop collecting hearts. Attributing H4H soley to trophies is a common misconception. Sure, it encouraged it, but it's basic human psychology that some people will do what they can to collect these things that make them feel good about themselves.
There is a chance you won't see H4H on LBP PSP, but don't count on it ;)

