Schlage is first rate.

We have keyless button entry, not sure that's the thing you're asking about

Are those two separate things or one thing together? Lock and privacy?

I forget what spent on a doorknob with a keypad. worked for about a year and started to not lock. pulled it out, put the old door know back on. sometimes the old ways have been around so long for a reason.

I got Yale doorman L3 on a property I rent. Was pain in the ass to get to work with wifi, but now has worked flawlessly for half a year. https://www.lbtechreviews.com/test/smart-home/yale-doorman-l3s