Yes absolutely
Because if you don't, next week it'll be more forceful
I think it's just one of those where if the same player does similar again by all means send him off but as I said, producing a red here does not really help anyone unless it was more obvious aggression where there can't be any complaints. In fairness to the ref maybe what the player also said may of been a contributing factor but for casual fans, you have referees giving yellow cards for arms/elbows smacking into a players face yet slight contact like this on a referee is a red card. It's just open to mockery unfortunately.
Also we talk about how game management is important and a red card like this could of lead to more Ill discipline from the Eastleigh players which would of been avoided if there was no red card.
Not saying the referee is wrong to produce a red as the LOTG backs him up but in certain situations, it could lead to more trouble than its worth.