You would also need to alter some PHP code to not output the month, as that is calculated and added separately to the heading, not under the control of a define.
This is really an inappropriate place to hold a title like that... unless you are selling class registrations. In that case, it would be better to use the featured products centerbox instead of new products; that is not month-related and would be a straight text redefinition. You can also select exactly which "products" are featured. "New products" are based strictly on when they were added to the system, and could present tricky management issues.
This would also allow you to use the new products if you wanted to display the next session's classes as upcoming items.