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READ THIS FIRST - Private Parking Charges Forum guide It would be good to see the back of the notice. Also, if you can get them, copies of the photos on the notice captured from their online portal so we can see what they've captured in terms of evidence.
Aside from any technical arguments (2 photos taken 2 seconds apart doesn't provide a period of parking for example), there would seem to be an argument about commercial justification here. Ordinarily, issuing charges to vehicles that 'straddle' 2 parking bays would have a clear commercial justification (if everyone parked like that, the capacity of the car park would be halved). In this case, if snow was blocking one of the 2 bays rendering it unusable, it's less clear what legitimate commercial objective is being furthered by issuing a charge.