On commodities i price shop i am into Hi Fi if i can get it cheaper off the internet i will, if i want a tradseman then price is not the same issue it is less important the expertise and quality are more important. Who in their right mind would go for the cheapest builder, plasterer,electrician, or plumber.
Although the consequences of employing a carpet cleaner who may not know what he is doing are less, they are letting this tradesman into their home to work on their expensive carpets or upholstery, i would want to increase my odds of getting someone who is a professional, and although it's no guarantee generally speaking the guy charging the higher price will be better.
Some customers have the extra money but need educating in why you are charging more, some want cheap and don't care, never worry about these people, and all want what they see as value for money, never had a single customer complain about my price after i have done the job, but plenty over the phone.