They will kick you out if they spot you with a cam
That doesn't necessarily mean they can enforce the terms on the ticket in any way.
Once you have the photo, or the footage, you legally own the footage.
They cannot, for example: legally prevent you from posting your photo or reselling your footage,
they also cannot force you to delete or destroy anything, they cannot take your camera or damage it or operate its controls, or your film or storage media, or hold you or your equipment hostage, etc, etc.
Any of those actions would be illegal, whereas your action of taking a photograph is not a crime.
Yes, the property owner or their legally appointed representative definitely has the option of kicking you out if they spot you holding a camera. They can have their personnel ask you to leave; their personnel have to be prepared to show convincing legal proof that they are an agent of the property owner.
In that case, you still have and own any photos or video you took before being forced to leave, AND
you may be due a refund for the ticket, and the venue may be liable for the cost, since your admission has then been dishonored, once they have failed or refused to provide the access paid for.