Need a sharp chain and some revs, but I've never had any issue because of hard wood.
The only times I have an issues is when I am cutting pieces to remove pieces from really big wood and I have to go back in and plunge where I have already plunged and cut sideways. As long as you are boring straight in, once the tip is started slightly to the bottom, the bar can't really go anyway but straight in. But going into already open cuts is trickier because if the top of the tip touchs wood there may not be any wood to support the bar.
I do a fair amount of end grain plunge cutting where I bore only to a predetermined depth and then cut sideways. A pic would be more clear than trying to describe it.
When plunging, especially endgrain or hard woods, I feel a fairly forceful and aggressive steady feed of the saw is important. Stopping the motion can cause the tip to kick.
Good sharp square ground helps a bunch in hard wood as well as it sort of self feeds.