Had a google. The funeral was not till January, and the Victory had arrived back in December. Still, all accounts I can find suggest his men were deeply upset. His coffin was carried in by men of the 'Victory ( apparently, his own men had been ignored, but such was the uproar that they were included).

I found this contemporary account.

One of Nelson's sailors wrote home after the battle: "I never set eyes on him, for
which I am both sorry and glad. For to be sure I should like to have seen him but
then all the men in our ship who have seen him are such soft toads they have done
nothing but blast their eyes and cry ever since he was killed. God bless you! Chaps
that fought like the devil sit down and cry like a wench."