Flamestrike
Legend
If you mean never call for multiple where one single roll failure means the failure of them all, then I agree.
If you mean never call for multiple rolls where the accumulation of rolls influences the outcome without one failed roll automatically resulting in failure, then I disagree.
The former (one failed roll automatically kills the whole attempt) just means that each additional roll ratchets up the difficulty. You're better off just raising the DC and making it a single roll.
The latter (each roll result influences the ultimate outcome but does not individually mean automatic success or failure) is indicative of an extended process and offers one greater ability to determine degrees of success or failure, which can be very relevant to some tasks/checks.
Were in agreement with point 1 (compound checks should be avoided).
You can make an argument for and against such checks in point 2. Why roll 10 times to determine success when one roll does it just as well? For checks that indicate a degrees of success and failure or determine time taken to succed, higher results on a single roll can model this just fine.
Consider 10 rolls to craft a set of full plate (with each success or failure adding or reducing the time taken, and a net of 50 percent or more successes required) is one such example.
Why engage in such a convoluted system, when I can just resolve it with a single roll - a higher result granting a shorter crafting time, or a better suit of armor? We wind up with the same result, but the resolution is much simpler.