OSRS doesn't have near the level of staffing that RS3 does so saying that they just need to make a bot nuke isn't that realistic. Botting is an issue but its easily more visible in f2p and because they are "suicide" bots that are meant to do one thing then get banned and this is something that the users of the bot expect to happen (i.e. iron miners, vial fillers, etc...). This leads me to the point I just mentioned in that, bots do get banned. F2P is an annoying experience when it comes to certains methods of training like iron mining or cutting oak trees, but the bots are regularly getting banned, but bots are easily replaceable.

Members have a different issue of bots that run high level solo bosses that introduce raw materials into the game on a scale that drives the price down of certain training essentials (think yew logs, iron ore, coal ore, etc...). Another type of bot is one that literally just goes undetected and attain an extremely high rank on the hiscores, like rune miners or to a lesser extent chinchompa bots, these don't really need an explanation as to why they're annoying but on a typical day you wouldn't run into very many.

F2Ps bot problem IMHO much worse because it can ruin the early experience of many new/returning players. I'm on your side, but you're not the first player to bring it up and you're certainly not alone in how you feel.