The Toffees were the victims of their own downfall at times as they were dismantled by second half goals from Harry Kane and Christian Eriksen, with man of the match Heung-min Son opening the scoring in the first period.
Asked about Holgate's tweets in a news conference, Everton boss Allardyce said: "We go through meeting after meeting, from all areas, through the FA, through the PFA".
"Or what would the game have gone like if Harry's goal would have been disallowed - because I think it's offside looking on the laptop". I want to keep going scoring but we all played well today, not just me. 'Hopefully his ability and goalscoring ability will help us along the way, but we've got to get back to the basics defensively like I did when I first started'.
"Whenever other teams around are dropping points you've got to be there and to win", Kane said. West Brom becomes a massive game next week so that we don't get dragged back into that relegation zone.
I may have been offside - Kane plays down new Spurs scoring record
On a day where fellow top-four challengers Chelsea dropped points, Spurs cruised to victory to close the gap to just three points on their London rivals in third.
"It was a fantastic performance", he told BT Sport during their coverage of Saturday's late kick-off. Of course, like always when you play next to a player like Harry Kane, who is breaking records every week, it's hard to focus on another. He deserves all the credit and the praise.
But there was no further action in the remaining 13 minutes as the hosts went into the break a goal to the good, which quickly became two after the restart.
Apart from Wayne Rooney having a header ruled out for offside, at no stage did they ever look capable of doing something.
Son was involved again as Alli had a chance to make it three with 53 minutes played but could only steer his attempted finish into the side netting. He was clearly the best Tottenham player on the pitch and finished the game with one goal and assist to his name.