Jq create object fails when key is missing

I have two example files

example1:

{"label": "Example1","attributes": [    {"objectTypeAttribute": {"name": "Created"},"objectAttributeValues": [        {"value": "create time 1"        }      ]    },    {"objectTypeAttribute": {"name": "Updated"},"objectAttributeValues": [        {"value": "update time 1"        }      ]    }  ]}

and example2

{"label": "Example2","attributes": [    {"objectTypeAttribute": {"name": "Created"},"objectAttributeValues": [        {"value": "create time 2"        }      ]    }  ]}

When I apply

cat example1 | jq '{created: .attributes[] | select(.objectTypeAttribute.name=="Created").objectAttributeValues[0].value,updated:.attributes[] | select(.objectTypeAttribute.name=="Updated").objectAttributeValues[0].value}'

on the first everything works fine and I get expected result

{"created": "create time 1","updated": "update time 1"}

, however applying

cat example2 | jq '{created: .attributes[] | select(.objectTypeAttribute.name=="Created").objectAttributeValues[0].value,updated:.attributes[] | select(.objectTypeAttribute.name=="Updated").objectAttributeValues[0].value}'

I get no result at all, the result i would expect is

{"created": "create time 2","created": "NULL"}

After researching similar questions I have tried the following:

cat example2 | jq 'try (.attributes[] | select(.objectTypeAttribute.name=="Created").objectAttributeValues[0].value) // "NULL", try (.attributes[] | select(.objectTypeAttribute.name=="Updated").objectAttributeValues[0].value) // "NULL"'

however this doesn't work when I try rewriting the key like here:

cat example2 | jq '{created: (try (.attributes[] | select(.objectTypeAttribute.name=="Created").objectAttributeValues[0].value) // "NULL"), updated: try (.attributes[] | select(.objectTypeAttribute.name=="Updated").objectAttributeValues[0].value) // "NULL"}'

Also I have tried

cat example2 | jq '{created: (.attributes[] | select(.objectTypeAttribute.name=="Created").objectAttributeValues[0].value? //"null1"),updated: (.attributes[] | select(.objectTypeAttribute.name=="Updated").objectAttributeValues[0].value? //"NULL")}'

which works for example2 but doesn't for example1

cat example1 | jq '{created: (.attributes[] | select(.objectTypeAttribute.name=="Created").objectAttributeValues[0].value? //"NULL"),updated: (.attributes[] | select(.objectTypeAttribute.name=="Updated").objectAttributeValues[0].value? //"NULL")}'

which results in

{"created": "create time 1","updated": "NULL"}{"created": "create time 1","updated": "update time 1"}{"created": "NULL","updated": "NULL"}{"created": "NULL","updated": "update time 1"}enter code here