Following on from previous answer,
Would I be correct in saying that the Supervisor should only check for the standard of work INCLUDED in the Works Information? i.e. if the Supervisor was personally aware of specific testing requirement relevant to the Works (e.g. a British Standard) , he/she should not ask for this to be carried out UNLESS they have been specifically included in the Works Information.
It is ultimately up to the Client’s to manage the risk/cost of fully (100%) complying with industry standards - or not.
That said, beware of poorly drafted Works Information with catch-all statements such as ‘All work to be carried out in accordance with relevant regulations and standards’. This neither lists the testing requirements or brings any ‘specific’ standard into the Contract by reference - and can be interpreted in significantly (£££) different ways.
I guess the Supervisor could ask, but not instruct, and up to you whether you follow their advice or not. It is up to the Contractor to make sure they are compliant with the Works Information, and as long as you think you don’t need to do that test to comply then you could ignore.
That said - I would listen to the Supervisor and see why he thinks it should be done. You could raise an early warning to say you are not planning on doing it, but if they wanted to instruct it (and pay for it as a compensation event) you are at least giving them the opportunity - or even the chance for the PM to instruct if they believe it IS a requirement to meet the Works Information (which would not be a compensation event.
My advise is talk/listen/consider/action accordingly in that order.
To labour the life out of this point once and for all, if the Works Information includes a statement to say that "all works should be in accordance with relevant standards (i.e. no specific standards listed and no specific testing requirements listed) and the Supervisor brings a testing schedule to site on day-one outlining hundreds of obscure tests from relevant standards - what happens next?