He said, "We arguably had the two best chances in that second half, to get an equaliser or a victor".
Palace play Brighton and Hove Albion in the league on Saturday.
"It's about responsibility at set plays - you can have clever movement from players in the box, but it's about making sure you adjust to that and take responsibility".
It is, though, hard to see tomorrow passing off so quietly.
Palace rise to 16th, just one point behind 13th-placed Brighton.
Brighton are in a bit better position coming into the late stages of the season, but not by much.
The Seagulls came close to levelling the scores just before the hour mark, as Glenn Murray stretched to get his foot on Kayal's looping cross towards the far post, however his effort went narrowly wide of Hennessey's right-hand post.
"I feel like there's no need for us to have the debate". Given their subsequent problems - through fitness and form - with various strikers, it must be galling for Palace they allowed Murray to leave for just £5million two-and-a-half years ago.
The Clarets were soon two ahead as Kevin Long notched his first-ever league goal for the club, rising to convert Johann Berg Gudmundsson's deep corner.
Murray was particularly prolific during a run of results culminating in victory over Arsenal at the start of last month which saw Hughton named manager of the month and that appeared to have guaranteed Brighton's Premier League status for another season.
'It would be a nice one not to lose, ' said Seagulls boss Hughton. Brighton were beaten at Everton and at home to Leicester before being held by Huddersfield in a 1-1 draw last week.
Brighton stayed seven points clear of third-to-last Southampton and has a tough run-in, comprising of games against Tottenham, Burnley, Manchester United, Manchester City and Liverpool - all teams in the top seven.
'It is a big game for the fans and because of the table it makes it bigger, ' admits skipper Lewis Dunk. Three points against Palace will be vital for their survival. The events use footballers past and present to help highlight issues about racism in social society.