I can’t imagine a standalone heart rate monitor would be very useful without logging to a smartphone
What I'd love is a fitness track, without a subscription, that sync data with HealthKit whenever my phone is within reach, but buffers it, if it can't find the phone nearby. It's the assumption that my phone will always be with me when I workout or take a walk that triggers the "BUH" from me.
I'd also love for this device to not be a watch, because that limits my choice in which watch I can wear.
It uses an app to sync with Apple health but will happily run offline for a week until you can sync it.
There are also heart rate bands you wear around their chests since you mention non-watches. I am not sure if those will work without another device to sync with though.