I get the point. You can sharpen, you can sharpen.
Sakai Yusuke stainless doesn't have outstanding edge holding properties; more like mediocre. It is a relative bargain as lasers go, but it's no longer a standalone at the price point; and I think it might be "wa" only. I tend to think of a stainless Yusuke as the bargain version of a Tadatsuna Inox or Suisun Inox Honyaki -- but not as good. Gesshin Ginga on the other hand... I only hear good things. Gesshin Ginga should be one of several knives on your short list.
Carbon is needy and needs rinse and wipe right away when it needs rinse and wipe at all. Sushi bar level of care has as much to do with getting the taste of the last fish off the knife as it does with taking care of carbon; and they wipe their stainless knives just as often. Frequent rinsing and wiping is always good practice with carbon -- but it doesn't have to be every two minutes. We can talk more about it if you like. And, given your price range, I'd at least consider some of the excellent carbons available. Knives made with stainless and semi-stainless alloys which really compete with excellent carbons tend to run about 1/3 more expensive than their carbon equivalents.
I haven't heard back from you about semi-stainless knives, or about why 210mm. What are your thoughts?
You haven't said you want a laser. There are a lot of other choices, almost as thin, almost as light, but sturdier. I wouldn't trade one of my Konosuke HDs, but I were to buy yet another new gyuto it would be more along the lines of a Masamoto KS -- or perhaps something stainless -- to fit between my HDs and Sabatier carbons. However, you're looking for an all-round go-to gyuto and have plenty of heavy duty knives to back it up.
In addition to the Gesshin Ginga, you might also want to look at the Masamoto VG, Masamoto HC (if you can live with carbon), the Konosuke HD (which is a big favorite in this forum), the Tadatsuna (western handled) stainless, the Kagayaki Carbo Next (it comes with a crap edge, but is quite a good knife if you can sharpen well), Kikuichi TKC, MAC Pro, Sakayuki Grand Cheff (the AEB-L mono-steel, not the damascus or other san-mai versions) and perhaps the Richmond Remedy. Not all of those knives are going to be available in 210. I recommend the MAC Pro more often than any other knife as a first, good Japanese gyuto and/or a first, really good chef's knife. It's significantly less transition from a Euro than many other Japanese made, western style knives because of its excellent handle and stiffness (compared to other Japanese knives); and it has a much better warranty and factory support. The Masamoto VG and HC are better handling, but more "Japanese." On the other hand, the Sakai Takayuki Grand Cheff and Remedy (made in the USA) are also easy transitions. The Grand Cheff is an easy knife to get very sharp, so is the HC. The VG and Pro a little less so.
BDL