Hi Centaurus,
I will try and give you an explaination of why this may occur mate
You may not see a Boeing pilot conducting Airbus procedures, but where I work, we have conducted Boeing procedures as Airbus pilots. Whatever.... It's all about safety and standard operation.
Safety starts by adhering to procedures to deliver the best outcomes

If there is procedures that seem a little obscure, as in your case Centaurus, you may want to look at the entire operation and see what they are trying to achieve with the equipment they have. It is called 'standardisation.' Standardisation reduces costs (training etc) whilst minimising the impact on safety. Sorry to say mate, most MBA's (CEO'S) are of accounting nature
For Airbus, as long as there is no blue for take-off and landing, everything is golden. So why do pilot's do a lot of other checks? Pilot's can just take-off or land the plane as long as there is no blue lines on the upper ECAM display right? Sure.... but what happens when there is a problem that needs to be resolved, like an engine fire? If pilot's have not been used to following procedures, pilot's may decide without proper advise, an alternative outcome that s detrimental to safety without good advise (ie Airbus). No no!
Follow the procedure mate, as long as they are safe and are generally what needs to be done. It has been no skin off my workmate's nose in the past sitting in an Airbus saying, 'switching panel normal,' as one would in a classic. It's the bigger picture stuff
Definately put your feedback to your organisation in a positive and constructive manner Centaurus. You may find that you are listened to and procedures refined and better suited to the operation.
It's all about safety mate