I also have this problem and installed the plugin ‘WordFence’ as I thought it might fix it for me. While not directly stopping it (I tried blocking IP’s and IP ranges, but no IP repeats the sign-up), I discovered a few commonalities about the bots.
1) They all call on a certain ‘page’ or ‘function’ (I’m no programmer so don’t know, and I won’t list it here). This call is somehow inserting the spam email address and name. This is why removing the plug-in from the webpages still results in spam as this element is still ‘live’, only when the plugin is disabled does spam stop.
2) So far, the bots inserting email/names all have the same ‘browser user agent’. None of the humans visiting my site have the same user agent value as the bots.
3) There is different bot attempt to inject the email/name direct into the fields, but this is not resulting in new registered spam addresses. I guess this type of attack is fixed?
To try and stop it, I used the WordFence Firewall Blocking page with a certain string match for ‘User Agent’ to filter out these bots. It has been running for 12 hours and I have no new .ru email subscribers.
Strangely, WordFence does not report any blocked bots so far, which means either I have not been targeted since, or WordFence is working but not reporting the blocks.