So by the last 3 years they mean 18/19, 17/18, 16/17, rather than 19/20, 18/19, 17/18?
As I understand it yes 19/20 hasn't even finished yet, I don't think asking everyone to submit their tax returns now would be a great idea. Their systems struggle end of January having given 10 months to do so, and quite a few do submit over that time period. If everyone did it now at once, and on top of everything else I think it would be impossible.
The extended deadline as I understand it is for late submissions from last year.
Taken from the HMRC website from page about help for self-employed;
have submitted your Income Tax Self Assessment tax return for the tax year 2018-19
traded in the tax year 2019-20
are trading when you apply, or would be except for COVID-19
intend to continue to trade in the tax year 2020-21
have lost trading/partnership trading profits due to COVID-19