I'm noticing a faint 'shimmering' that occurs across the screen which is especially noticeable when the screen is displaying lot of white.
Andy, man, you're a fussy fart when it comes to visual quality.

Do realise that you may never reach the perfection that you're seeking?!
The last Loewe E3001 I had was a 70 cm model that I got for free. All the other E3001s I'd seen (which numbered far fewer than the more common E3000) had 72 cm tubes. Anyway, this 70 cm version had one of the best pictures I'd ever seen. Focus, color, geometry, stability, it was all there! However, I was hellbent on ripping out that awesome Philips tube to
hook up to a vintage Grundig chassis I found on the side of the road).
Anyway, point of the story is that if you've scored a Loewe E3001 in good condition, you ain't ever gonna get much better than that. I would concentrate on setting up the TV as best you can (internal and service menu adjustments) and perhaps consider pimping it out without the highest grade caps you can find.
Every CRT is going to have some niggling issue and most will have far, far more than that Loewe of yours!
