This question already has an answer here:
I did not respond physically
I did not physically respond
I can't escape the sense that #2 'strongly' leaves open the possibility (or implies) that the writer responded some way other than physically.
Whereas, #1 seems to rule out physical response and does not imply some other form of response.
Maybe it's just me, or am I describing something that's been analyzed before (and perhaps given a name)