Edit extra information: I have a good relationship with them, and have asked them the obvious questions while also posting here. The agents that do it seem to just be doing what they are told, there doesn't seem to be malice. However it is invasive.
My curiosity is peaked every time, as I simply do not understand how this is legal under current data protection measures.
It's not mentioned in the contract, the contract only mentions damage photographs. They do not tell you which app, who creates it, where the photographs go, for how long, if they go to the cloud, or which cloud. Or even which country.
My thoughts are: If you gave me several years of photographs, of every room, every three months I could discern: Political choices. Gender. Age. Sexuality. Interests. Hobbies. Relationship status. Disability status. Approximate income. Field(s) of work. Illnesses. And then how those change over time.
Which is what makes me think "How is this legal?".
Edit extra: Also, are they not risking everything business wise? Giant fines? Rogue employees feeding criminals good targets? I just don't get the logic of it at all from a business perspective.
Thoughts? Thank you.
The next time this happens, simply tell them that they have no right to photograph beyond what was agreed, and instruct them to cease immediately. If they feel differently, it is up to them to demonstrate on what grounds they may photograph.
You should contact a lawyer or the ICO [0], the UK's data protection office.
[0]: https://ico.org.uk/
Generally, at least in the US (every state differs slightly) a landlord or their agent can enter your apartment only in an emergency circumstance or with your explicit permission after requesting. The only time they'd take photos is after you've moved out to photograph damages for evidence if they with hold any part of your deposit. Your landlord should not be snooping around your house every 90 days, that's ridiculous. In the US, it's common to change the locks on the door after renting and then turning in the new keys when you leave.
Per GDPR, they have an obligation to inform you what data is being collected and for what purpose (Article 14). If they only mention damage photographs, then any photographs that aren't about damage would have been collected unlawfully and you can request they be deleted (Article 17, in particular part 1-d). You also have the right to receive a copy of all data about you (Article 15), and I doubt that any of the usual exceptions apply to this case.
While you can infer so-called Special Category data (sex, sexuality, health conditions), I'm not sure it technically counts as Special Category data on its own. However the inferability of Special Category data should have been part of the consideration of whether this data collection is acceptable.
If the data is transferred to a cloud service, they are obligated to inform you. If this transfer is international, they are obligated to inform you what is the legal basis for the international transfer (but not the actual destination country). If they have told you neither, they are only compliant if the data is entirely on-device or on-premise.
You can file a complaint with ICO, the regulator for the UK.
Most of the properties I've rented in the UK have only have only had an inspection at the end, although one has had a mid-tenancy inspection, where they took photos of the (previously) damaged part only.
Personally, I'd start off by raising a Subject Access Request under GDPR (it's part of British law, not just EU) as well, as well as asking how they asking how they process and store the data.
If they're using the data incorrectly (e.g, if they claim to collect data to check for damage, but there is no damage), you could make a complaint to the ICO.
If you're not familiar with your rights under GDPR, I'd recommend reading the UK Information Commissioner's Office guide for this (https://ico.org.uk/your-data-matters/your-right-to-get-copie...).
Secondly I would advise contacting a helpline and asking them - Shelter or citizens advice bureau.
What is the app? Does the app have a privacy notice/policy?