Stick pushers are not there to deal with crew unaware of what goes on around them. They are potentially very dangerous devices and are fitted only to aeroplane that are considered to be more dangerous without then with them. DP Davies has written an excellent treatise on stick-pushers, pages 130-140. His analysis of risks and benefits connected with pushers is amazingly applicable to any other envelope protection too.
Yes, they are (potentially dangerous), which is no doubt why RRR mooted a stick shaker, and I (knowing someone would bite) extended the argument to a stick shaker... in a specific context.. that is where a plane can easily be held in a stall by the crew with a neutrally stable trim - AF447
Also bear in mind that D. P Davies was writing quite a while ago now... technologically speaking.