Triples were fun - I grew up around them, though never owned one - but they weren't very good. Sucked fuel like crazy, didn't last, rotten handling. A pal had a Mach III - one of the green ones, about a 73 or so. And I very nearly bought an H-2 rode. Dad wouldn't co-sign, in retrospect I'm glad he didn't... I had no business, as a testosterone-laden kid who thought he was invincible, on an H2 at age of sixteen. Ended up with a KZ400.
On H2 vs Z1... I'd definitely opt for latter. No, it won't wheelie with that peaky powerband, but was far more streetable and long-lived. Plus, the first couple years Z were beautiful.