well there was no detriment but there doesn't have to be actual detriment.
My thoughts are that the reciprocal promise(if one was made to delete if Lovely lost) should be adequate consideration.
I think you are confusing the adequacy(sp) of the consideration with promissory estoppel. For PE to apply there would have had to be a change in position in reliance on the promise to delete--and I agree I don't think Lovely changed his/her/it's position because of the promise. But that's confusing the issue. Its not whether the position changed, its simply was the consideration adequate to create a contract.
and thx on the IRAC respect. Been a while
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