I think horse riding is expensive for novice parents to get their beginner children into. It's unfortunately one of those 'who you know' things.
I am horsey as are lots of my friends (most of us state school educated), and I manage to loan a pony for DD for the huge amount of £5 per week, plus £30 every 6 weeks for front shoes. This is a pony that my friends children have all outgrown and she is happy for him to be used, and getting attention. Obviously I am able to teach DD myself. My pony costs me £150 a month as I share him with a friend. We do have him at a posh livery yard though, so could probably reduce costs. Previously I had my own horse on DIY livery on a farm and that cost approx £150 a mo to too. My XH used to moan about the cost and friends would comment 'ooh a horse, so expensive' until I pointed out that I was spending less on horse that they did on tobacco and drinks in the pub or new clothes. And I was getting a fresh air healthy activity for mind body and soul.
It's a shame as their is massive inverted snobbery about it. To the extent that I often dont tell people DD and I have a pony each. I also was looking forward to collecting DD from school on the ponies until some other friends pointed out DD could be targeted and bullied for being 'posh' ☹️ There is a MASSIVE difference between keeping a string of polo ponies or an eventer, to having a native pony for your child to bond with and have a fun childhood together with.
I am tried to give up a couple of times over the years but the longest I lasted was about 9 months. It's in your soul, you can't just give it up if horses are in you. They find their way back.
Lovely thing a friend said to me when I was pregnant 'the pitter patter of tiny feet all too quickly turn into the thud of an adolescents trainers, but the clip clip of horsey feet will always be waiting for you somewhere'.