The same applies for even a perfectly circular orbit (degenerate ellipse). It will still take that extra tiny bit of rotation for the body (Sun) being orbited to be in the same spot (noon) as apposed to the exact 360-degree rotation referenced to a "fixed" distant location (star/Vernal Equinox).
For the earth this comes out to about a 4-min/day difference.
Ooh, you're right. I'd forgotten that 1 turn around the Sun every 'year'!
Then there's that goofy fact that the Earth's orbital time is not 365 days, but 365 days, 5 hours, 48 minutes, 45 seconds (and some stuff...)!
Does THAT mess things up?