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With a high level of confidence, I call "bull" on that remark about the depth within 80 feet of shore. I attribute it to the obviously high level of defensiveness adopted by the OP. What lake exists where the depth within some certain distance of shore never exceeds a defined value? You'd have to be in a region of extremely flat topography for that to be true, and that can hardly be the case in Upstate New York. Even if it were true, the idea that a person could simply walk to shore and not get cold hands is bull too, at least in terms of such a blanket statement as yours. I know for a fact that without the right mittens, my hands would be numb within about a minute of the initial dunking and probably useless soon after, and I wouldn't be able to warm them up again without putting them someplace warm. Most people's hands are not as cold-susceptible as mine, but I'm hardly the only one who's like that either. Some of the cautionary advice was provided by people who's own experience gives them credibility. I see no need to take a reactionary stance about most of what's been said.
"he has not indicated any habit or ability around an on-water re-entry. Your posit that he has an on-water option is not something I can see a basis for here."
When you can stand up, there's no need for any "technique", aka ability, for re-entry! Just stradle the boat and get in!!!
Besides, it doesn't really matter. If the re-entry doesn't happen, just swim or wade ashore.
That's my whole point: all the crap people throw around doesn't apply in this case!
"As I found out, the time to be unable to help myself can be under 5 minutes.
Your personal experience when you were younger is not necessarily going to apply for this individual"
By the same token, nor does your personal experience necessarily apply to this individual either!
The OP should try his "rescue options" himself. Simple as that.
It is a shallow lake, and considering its size it's extremely shallow, with very gradual slopes, so I'd say you are correct. However, at a glance, I'd estimate the average depth to be more like 20 feet, rather than just six. I'd like to see if the surrounding topography matches the character of the lake bottom. I suspect that "getting rough very fast" is more due to the tremendous size (very long fetch) than the bottom, since shallow water tends to restrict wave size, except at locations where the waves first enter the shallower water, but maybe there are localized areas where the bottom shape makes things rougher. Since the OP's lake is extremely deep, I'm still expecting the overall topography to be irregular, even if not steep on average, but I guess we can't know unless we learn its identity.
How does a still body of water in upstate NY stay unfrozen all winter long along the 4' deep shoreline?
Now I'm thinking of getting iced-in. It doesn't matter as much how deep the water is if you're iced in or out - you're going to get wet.