Thank you very much for your reply. Unfortunately, I have already tried what you recommend (e.g., removed fake Googlebot-trapping and other code from .htaccess, run header checks with various UAs, etc.) and the failures of those efforts were what brought me here seeking further insight. For example, several of the commonly recommended Apache rewrite rules to redirect from http to https including ones offered by my own host - and different from the one NetMeg is offering on a neighboring thread, btw - either include at the end only [R, L] or nothing at all rather than the specific [R=301, L], thus triggering a 302 redirect instead. But I have checked and have no such code in .htaccess either. Nor do I have any of what is still being commonly recommended for both true 404s and WordPress comment-page-1 failures (supposedly under repair in the WP garage) alike, i.e., explicit redirects to the home page in .htaccess.
My host at my panel level offers the choice (which I arbitrarily elected) to direct to www.example.com rather than just example.com or both. Is it conceivable that this choice made there in the host panel rather than in .htaccess could be triggering this random redirect? I don't understand how myself.
Most curious to me is that this dog only barks relatively infrequently in the night. That is, although I am repeatedly getting dozens of these Googlebot-only Soft 404 302 Found redirects to my home page in GSC, those are out of hundreds and hundreds of successful 200 crawl requests in my logs, that is, whatever is triggering Googlebot's response is not at all consistent and is also relatively infrequent. Thus, if the culprit is some script or code element, it is one which operates inconstantly. Nor can I match it to anything obvious among my posts (this is a WordPress blog).
For example, there are numerous suggestions out there that Google signals what it regards as "thin content" by returning a Soft 404 in GSC. Now, granted, a Google Soft 404 can be anything that Google decides a Google Soft 404 is, because it is they who conceived that condition of sin; thus a Soft 404 can conceivably just as easily be a page Google arbitrarily frowns upon as it can be truly missing page references explicitly redirected to the home page in an .htaccess rule. But these Googlebot-only 302 Found redirects to Home page I'm seeing span everything from noindexed very thin posts and good, long, complex posts alike and everything in between. That is, there is no common element obvious to me triggering the response in question.
Which is what brought me here. I know very generally what I should be looking for in the way of response triggers, but what more specifically, that is, what - apart from arbitrary Googleness - more specifically would trigger that specific header response, in Googlebot but not in browsers or several different header checkers running a variety of UAs including a spoofed Googebot; inconstantly; in WordPress; following a transition from http to https using my host's LetsEncrypt certificate?
Given the lag times in GSC reporting, trying to check such things as active/inactive plugin or other cause/effect becomes from difficult to nigh impossible. I had previously used NetMeg's redirect rewrite rules from the recent http to htaccess thread here but the phenomenon persisted. I have presently replaced them with this offering from my own host
RewriteEngine On
RewriteCond %{HTTPS} off
RewriteRule (.*) [
%{HTTP_HOST}%{REQUEST_URI}...] [R=301,L]
although, as mentioned, I added the missing [R=301,L]. Frankly, I'm not expecting this to make much of a difference either.
I'm afraid what is needed is some sort of Sherlockian understanding and insight into this universe greater than I possess, of the sort "look for the hidden letters near a boiler or other hot water heater", something that will narrow down this specific, inconstant, header injection.
Again, thanks for everyone's help so far, and any further clues will be greatly appreciated. I doubt I am the only one who is or will be having this problem.