fwiw, While I would assume Jerry held/played some sort of Lap Steel or Dobro in his life, I am not aware of any recordings of Jerry playing Lap Steel or Dobro type instruments. Maybe I am forgetting something on a Garcia/Grissman project?
He played Pedal Steel Guitar on 17 studio albums during the 4 years or so he was playing Pedal Steel, mostly with the GD, JGB, Bob Weir ACE, NRPS, CSN and related solo projects, Link Wray, Brewer & Shipley, a few others that I am probably forgetting at the moment.
My favorite Jerry Slide Guitar is on E72 version of Hurts Me Too. Give it a listen.
He also played slide guitar on the studio version of Deal. Obviously some live recordings of various Bobby blues numbers.
A bit of Skullduggery regarding Pedal Steel vs Lap Steel...
Pedal Steel is actually easier to play fluently than Lap Steel, because it has a wider sonic range (more strings), and the pedals/levers make it easy to get all the notes you need for chords and scales.
On a Lap Steel you have to use forward/reverse 3-note bar slants (holding the bar diagnally to the strings), 3-note bar slants where the nose of the bar catches two of three strings on the same fret, behind the bar string-pull raises, etc, to get all the notes you need for scales and chords. Not to mention, many Lap Steels have 2 or 3 or 4 necks to accommodate different tunings, where Pedal Steels typically can host multiple tunings on one or two necks.
"Skullduggery" was also the name of my High School band for a minute there.
Scale length often dictates what your open tuning will be, which often sets Dobro's and Resonators apart form Lap Steels and Pedal Steels.
None of this Pedal/Lap/Dobro stuff has anything to do with standard-guitar-tuning Slide Guitar, really. That's a whole nuther thing.