Black tea water: Does boiling water first make a difference?

Black tea water: Does boiling water first make a difference?

When I make black tea, I usually put the leaves (or tea bags) into cold or
room-temperature water before I start boiling it. I've noticed that
certain cultures always insist on first boiling the water, and only
putting in tea leaves once it reaches a full, rolling boil.
Does boiling the water before putting in the leaves make a difference? I
tried both ways and couldn't find a difference in taste. It seems like
boiling for more than a few minutes means both would have similar levels
of oxygen (not sure why that would make a difference).
To clarify: I personally *boil my tea leaves (or bag) for several minutes,
as in 10-20 minutes or more. It seems like the other popular way to make
tea is to steep in boiling water for several minutes.
I would like clarity on whether putting the leaves/bags in cold water
makes a difference, especially given the time-scale of boiling (should it
be shortened).