Capt_Tech
Sorry but that's complete and Utter nonsense, for starters every line Station has a limited stock of parts that the engineer can access without a requisition as many do not employ a storeman(or woman). Always been the same. The simple fact remains that its the engineer's responsibility to order or use the correct part. If there is a stores person there to issue it they only issue what's been requested anyway.
Ref tool control its tighter now than its ever been in my experience, maybe its being company driven rather than caa driven though I don't know. And yes it's actively encouraged that your kit is checked by someone else to confirm its completion. Seeing as though I only work with a limited number of other employees it tends to be a mate aswell. Doesn't mean it doesn't get checked.
Just out of interest How many aircraft have 'fallen out of the sky' due to part or tooling control?