For a dead bird on the runway I would like to be given the option and I would probably elect to continue, unless it was an ostrich!
If you don't know what the debris is I would just like to be informed that debris has been reported on the runway. I would go-around, and my feelings wouldn't be hurt if you just told me to go around
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By definition a go-around is going to increase workload for all concerned, but we all train for them and if the workload is unmanageable for any party then that is a different discussion, but I certainly wouldn't like to continue an approach with debris reported just because a go around was going to increase workload. Now, if flight safety was going to be compromised in some way........
PP