Not only is flushing important, it is a must to comply with boiler makers installation instructions. Warrenty will be affected it it isn't done.
There are two ways to do it, a rapid clean, as in power flush or a slower way is to add a cleansing agent such as Sentinel X400 (X300 is for new systems not heavily fouled). This would need to be added a couple of weeks prior to new boiler being fitted, it would be flushed out when new installation takes place.
The comment that nobody does power flushing anymore, means that this installer has never done power flushing as it is a realtively new way of doing things in Ireland, it has been done for years in the UK.