попробуйте что-то вроде этого, вам нужен генератор даты.
select
d.dte, count(e.start) as cnt
from
(
select dte from
(select adddate('1970-01-01',t4*10000 + t3*1000 + t2*100 + t1*10 + t0) dte from
(select 0 t0 union select 1 union select 2 union select 3 union select 4 union select 5 union select 6 union select 7 union select 8 union select 9) t0,
(select 0 t1 union select 1 union select 2 union select 3 union select 4 union select 5 union select 6 union select 7 union select 8 union select 9) t1,
(select 0 t2 union select 1 union select 2 union select 3 union select 4 union select 5 union select 6 union select 7 union select 8 union select 9) t2,
(select 0 t3 union select 1 union select 2 union select 3 union select 4 union select 5 union select 6 union select 7 union select 8 union select 9) t3,
(select 0 t4 union select 1 union select 2 union select 3 union select 4 union select 5 union select 6 union select 7 union select 8 union select 9) t4) v
Where dte between '2019-01-01' and '2020-12-31'
) d
inner join events e
on e.start <= d.dte and d.dte <= e.end
group by d.dte