Initially I thought it was just a matter of remembering to subtract/add a bunch of hours, but actually this timezone changes completely the way you look at your daily graphs, positions, transactions. Let me explain it better.
Because I live in Australia, when timezone is taken into account, a single trading day in NY runs from the night and the following morning of a day in Australia. A NY trading day is split in two different days in Australia. This means that daily statistics, positions, transactions and graphs seen in Australia contain information from two different days of NY: each Australian daily information contains data from end of previous NY trading day and data from start of current NY trading day.
Suppose I have an algorithm that trades at market open and close, if I look at statistics with Australia timezone they are very different from the same statistics seen in NY.