I would think maybe parent has asked you as host in case you know of someone coming where a cold might be a big deal e.g very new baby or other immune compromised person.
It isn't bad for you as host to say is ok for them to come. Remember most things are infectious before visible signs anyway. You could have no one visibly with a cold at your party and someone still catch a cold.
A cold does not fuss me at all. Only time I think an issues is if fever, vomiting, diarrhoea, rash, conjuctivitis.
If you have a guest who is pregnent, newborn, close to major surgery or undergoing cancer treatment or immuno suppresed for another reason I would speak to them.
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