New TT : Balanced vs. Unbalanced Connection?

I am in a six-month process of assembling a system will last me for the next 5-10 years. I’m set on the components, so please do not try to talk me out of my selections. My question here is a technical one.

I have purchased a Thorens TD–1601 and a Nagaoka MP–200 cartridge. I am trying to decide on the Integrated amp between Yamaha’s A-S3200 and A-S2200. The key difference for this question being the A-S3200 has two balanced inputs and the A-S2200 has one. I will use the first balanced connection to connect a recently purchased HiFi Rose RS-150b Streamer/DAC.

Now to my real question. The semi-automatic Thorens TD-1601 has both balanced and unbalanced outputs. I am considering buying a Schitt Skoll phono pre which has balanced in-and-out. In that case, I would buy the Yamaha A-S3200, needing two balanced inputs.

So, ASSUMING the phono preamp on the Yamaha A-S2200 is comparable to the Schitt Skoll, will I get markedly better sound by going fully unbalanced, with the Skoll and the much more expensive A-S3200, or unbalanced direct from Thorens TT into the highly regarded phone pre of the A-S2200?

What benefits will I get by going balanced? How much benefit? It is worth the complexity, extra box, cables, $2,000-3,000? I can afford it if much better, but don’t want to spend money unnecessarily. The TT and the integrated will be right next to each other, so distance is not a factor. Or is the A-S3200 that much better? …I like the BIGGER meters.

My current speakers are Paradigm Reference Studio 40 v2, which I love and have two pair, a super sleeper. They are not likely to be changed…one day Fyne Audio.

To reiterate, this is a technical question about the merits of balanced turntable connections. Thanks for the input. I have learned much from this forum over the last few years.