yes it does look better with chords I agree and should have put them on but instead I wrote a note at the very top:
(regular 12 bar blues progression)
the only thing you missed in your interpretation was going back to the V chord on the 12th bar (bar 13 on the sheet)
as most of you already know the typical 12 bar blues progression is 12 bars long; you’ll see a double bar at the beginning and end of each of these on the music chart to make it easier to identify.
from there it’s as you say above: four bars on the 1 chord, two bars on the 1V chord, back to 2 bars on the 1 chord then 2 bars on the 1V (sometimes, as in this arrangement it’s a bar of V followed by a bar of 1V) then two bars on the 1 chord again (sometimes as a variation it can jump to the V on the 12th bar again as it does in this song.