They can clearly enforce that more
Or, you know, at all...
I see far more Lime bikes sitting in the middle of the pavement than I do parked appropriately. Lime clearly has no incentive to punish bad parkers as all it does is lose them business for zero benefit.
The way to make the cost-benefit analysis work - and therefore to make Lime enforce against bad parkers - is for Lime to face a cost when their riders park badly. Local councils should just drive a van round and impound any Lime bikes thrown in the middle of the pavement and charge Lime £200 a pop to recover them - that would quickly get them to stop renting bikes out to hooligans.
This isn't a problem with bikes that individuals own. This isn't a problem with the Santander bikes either. This is a specific problem with Lime bikes and the likes, because the Lime bike system is set up to encourage people to dump their bikes anywhere and Lime does nothing to discourage this. Lime is a multi-million pound private enterprise that is profiting on what is effectively the littering of our public spaces.
Personally I'd favour using punitive market-based mechanisms to solve this - fine Lime £100 or £200 for every mis-parked bike, which would align their incentives with society's and quickly lead them to being a lot more discerning about who they rent their bikes out to and how they enforce against misuse of the bikes. But I suspect this would destroy their business model anyway - the overwhelming majority of Lime bikes I see out and about are not parked in an orderly way, so what you're calling a public disorder problem must account for the vast majority of their customer base - it's a business model set up to cater to hooligans. So maybe just banning the product outright is the better option. The Santander bikes are very widely available for anyone who needs them and they operate with a system that overwhelmingly enforces orderly parking.