The answer to any, "Can the PICAXE be used in this industry?", question is, "Yes; so long as the PICAXE specification meets the demands of the industry, meets the requirement of the role it's used in and has the capability and performance to achieve the task required".
You can replace PICAXE with any other name and that also applies to other products as well as microcontrollers; in fact it's the general rule for choosing any product to do any job.
Some replies to that thread appear to suggest that (1) the Power Industry has particular operational temperature requirements which the PICAXE cannot meet and (2) the PICAXE will not be up to the task, and therefore is unsuitable.
I would be surprised if any industry has any absolute electrical operational requirements laid down across the board, but they certainly will have for particular, or classes of, product. The PICAXE, like every other product, has its limitations which may exclude it from a particular use or task, but the important thing is what that particular task is. An "in this industry" categorisation is far too wide to make a fair judgement. In this particular case "Power Industry" could encompass everything from nuclear power plant to household energy consumption displays.
On the suggestion that a PICAXE is not up to a task, is a poor performer, or is inferior to other products; that's usually putting the cart before the horse or agenda pushing. The question is, can the PICAXE do the job in a timely manner ? If so what more is required of it ?
On the question of temperature; most PICAXE use standard Industrial temperature rated parts ( as Microchip term them ), -40C to +85C. This is suitable for most uses a PICAXE will be put to, and keeps parts cost low. If someone had a need for Extended Temperature PICAXE parts I am sure Rev-Ed would be pleased to discuss that requirement but it may require minimum order quantities - contact the Rev-Ed office.