I hold doors for strangers and always have from a young age. I'm in NY and we get a bad rap (many times deserved) but 90% + time people of various ages are grateful. Older (65+) are almost always very receptive and to my surprise so are young women. Young men not so much. Where the issues can present are middle-aged people just like me!
If you are indignant over a door held open it ain't gonna go without comments! No reason not to be cordial for a simple, polite gesture. If you do not wish a door held for you, or can't be polite; simply state no thank you, or I do not wish for any door to be opened for me. Don't accept the gesture and snub your nose. Nothing bothers me more than rude people or bullies.
Reminds me of the...."Don't mistake my kindness for weakness."