Believe it or not, what you've heard from the Corporate Eng folks is correct, and it's (usually) best for both you and them and the customer. Think about it: If the print says "drill 3/4 inch hole," you must "drill" that hole to the correct size. But if the prints says "Ø.750," then you can make the hole any way you want, as long as it meets the size requirement of 3/4 inch (within any tolerance, which I left out of this example).
Now if for some reason the manufacturing method is really important to getting something done correctly, then it's OK to spell that out on the print. But it most cases, the print simply tells you what the finished part looks like and they don't care how you get there.
In my example, why should we assume that the hole is machined? What if it's a plastic molding process that makes the part? What if I go out back and toss the part in the air and shoot a bullet through the part? It doesn't matter -- as long as the hole meets the given specs.
This isn't me just saying so, or the Corporate Eng people. It's one of the "Fundamental Dimensioning Rules" laid out in the official drawing standard, which is ASME Y14.5-2009. It's paragraph 1.4(e).