It appears they have changed their policies for this. Most likely due to abuse, as you have mentioned. I thought it was still the same as before.
Before, binance could temporarily freeze the allegedly stolen assets as long as you convince them + have the police report ready as 24 hours is too short. Though, getting your local authorities to cooperate in a timely manner is the hard part.
I am surprised they allowed it to happen in the past without a seizure order. Anyone can file police reports against others, but that's not evidence of wrongdoing. It's just the beginning stage of an investigation and guilt has to be proven later.
Regardless, the best case scenario is if your local authorities establish that someone stole money from you and deposited it into Binance. They issue the needed seizure order, you provide it to Binance, and their legal team takes it from there. Binance would then need to connect with law enforcement in the country where the scammer resides and have them arrest the culprit and seize the stolen funds (with the scammer's cooperation, of course). This can turn into a lengthy process.