It's really not a problem and I think testpanel is making a mountain out of a molehill.
1500' is normally when climb thrust or VNAV or some other power-changing mode is engaged but it really is extremely easy:
1. Change to the departure frequency as dictated by the tower
2. At 1500' set climb thrust or whatever (if required)
3. Talk to Departures
I have NEVER had ATC 'annoyed' at me and that includes Europe and the USA.
For some reason, some people think it is absolutely essential to 'check in' immediately after a frequency change (normally over-talking others that are already on frequency) rather than waiting until a more suitable time for either the aircraft operation or a break in the chatter. Just see to the power change and then chat with ATC; it's very simple