IIRC, we can see in some crash photos that there is very little or no fan tip damage. The damage which stopped the engines was perhaps gear box or fuel or oil line damage.
Or perhaps we can add another mistake/problem such as not enough fuel?
Is it possible that they knew they were too low on fuel to have more than one landing attempt and this explains the big hurry to get down in one shot, and the failure to do the go around at the proper time?