Hello all!
I am revisiting this troublesome HP scope after nearly a year off of it, which is not as long as I thought it would be, but being a student without a job I don't have the money to work on any other projects except fiddle with this pile.
If you need any context from the original forum topic here is the link:
https://www.eevblog.com/forum/repair/hp-1727a-oscilloscope-with-multiple-issues/I will try not to use this topic otherwise.
Starting with updates since I last posted about this, I really have not done anything except run through as much of the adjustment procedure as I could with the equipment I have. This did actually yield good results, I have a nice bright trace and all the intensity/brightness controls work. However I believe that there are problems in the vertical amplifier, symptoms listed below.
Number 1: The distortion at the center horizontal graticule. If I remember correctly this only showed up recently.

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Number 2: The trace is not centered when a signal is applied, even if the original sweep is centered with no input. changing the coupling does not make a difference.
Number 3: While sweeping the vertical position across its range of motion, the amplitude changes quite significantly.
Number 4: The amplitude seems way off, however it has not been adjusted and I don't want to adjust it until some of the other problems are solved.
I will continue working on this myself, but I thought some of the scope gurus out there would be interested. If anybody needs more information let me know, I will do my best to respond ASAP.