Hello @Justine391
It's always been the law to provide ID when booking into a Hotel or motel or Official Guest house so they authorities can find people if need be.
Alas you have the lawful right to do so in person directly to Police in those places to.
AI has really thrown our rights around in respect of the collection of ID's and what constitutes 'ID'.
Some places who are geographically challenged with AI/ Telecommunications are happy with good old fashioned hand written information and face to face human interactions.
Look up Bucharest, Romania, Regulations and see what your Options are and exercise your rights accordingly including in respect of Data Erasure and Protection regulations if you are sending it via the internet.
Have a great holiday.