Hank acknowledged various American players as early influences including Scotty Moore, James Burton and Buddy Holly..and IIRC, Cliff Gallup..
I wonder if Hank ever heard this 1956 LP- the first album release by Gene Vincent and his Blue Caps (the first lineup with Cliff Gallup on lead guitar)? The LP includes Gene's then current first hit single, Be Bop a Lula.
Cliff Gallup's playing on the well known faster rockabilly songs includes fingerpicking and fast runs etc with some slap back echo...however, on the slower ballad songs he used tape echo and the guitar's vibrato more gently and bases his fills and solos etc more on the melody lines of the songs...and the overall effect is very similar to what Hank played on Cliff's ballads a few years later..
The particular tracks I'm referring to on the above LP include Up A Lazy River, That Old Gang of Mine, and Jezebel..which were all old standards by the mid '50's.
https://www.youtube.com/watch?v=IREN3ahloiw
https://www.youtube.com/watch?v=UubXgI7U5Wg
https://www.youtube.com/watch?v=_1oVPIt6mhU