There was an example recently on the news about how going for what seemed like the cheapest option in the short run actually cost more in the medium term than paying more in the first place and having the job done right the first time. It was about winter road maitenance and road repairs in Toronto, and how the winning bids were the lowest one, but the lowest ones cut costs by not having certain equipment needed, not having enough equipment, not doing the jobs promptly, and cutting the amount used of things needed to maintain and repair roads, and now Toronto taxpayers will be footing the bill for the extra the city had to spend to get the roads in acceptable to good condition by buying the equipment and having to have a more expensive company that would have done the job right the first time finish the jobs.
It’s the same thing with music instruction. Pay for a teacher that charges low fees, and that student may be stuck at pre-conservatory levels for several years, if they don’t want to quit first. But pay somewhat more for a teacher that gets most students to at least mid intermediate level in the same time period, and the student will likely have positive memories of music making and even keep it as part of their lives or return to it as an adult, plus gain plenty of skill to play with others, particularly when studying band and orchestra instruments privately with good teachers. With cuts to school music programs, it’s even more necessary for students to study with good teachers, particularly on band and string instruments which there are fewer and fewer people available who can play well enough for community bands and orchestras.