Apple Watch 6: do I need LTE to GPS track fitness activities without my phone?

Do I need a watch with LTE to fitness track with GPS if not carrying my phone?

I don’t care about receiving calls or messages or getting internet content without my phone. I would like to run without carrying my phone and have GPS tracking on Strava and apps like that.

Also can the phone store podcasts and/or music for offline listening?

Will I miss any key features without LTE besides the ability to get calls, messages and internet content if my phone isn’t in my pocket?

thanks