I have an ancient plug-into-the-wall hand drill, and often use a 1/4" spade bit to drill plastic. But it's noisy!
And drilling can be flakey when the plastic is thin and brittle. I've cracked many cheap tubs.
I don't use "twist" drills because seeing the melted plastic gum them up "bothers me".
And maybe a drilled hole is more prone to future cracking then a melted hole, where the melted plastic often reinforces the edges.
Naah, I just like the wood-bunning tool better. A few times in the past a drill slipped and barely missed my knuckles. I know that I'm not getting better coordinated, so I use heat.