It makes all the difference – just saying it to people as you meet them. If it is a social meeting, it shows that you are determined to be pleasant and if it s a commercial encounter, it shows you are going to be polite. It invites a similar treatment.
I also find it is a useful greeting in the afternoon and evening as it concentrates the hearer’s attention – they think they have misheard you and listen harder. Never give the game away – do it dead pan.
When you leave, ” goodbye ” is much better than ” see ya ” or any such thing. No-one can complain of formal politeness.