A flower in a pot can't be picked when you hold the same flower as the one in the pot. I can't prove it by video or screenshot. Try to do the same thing in creative mode.
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You cannot use any items at all while looking at a flower pot, unless you sneak.
Can confirm in 20w49a.
Can confirm in 20w51a.
Can confirm in 21w03a.
Can confirm in 21w15a.
Can confirm in 1.17.
Can confirm in 1.17.1.

Affects 1.18

Affects 1.18.1
Can confirm in 1.18.2.
Can confirm in 1.19.
Can confirm in 1.19.2.

An easy fix for this would be for flower pots to drop their contents at their location as an item when right clicked, much like picking berries and using shears on pumpkins/beehives.

Relates to MC-232489

i can confirm in 1.19.3 and 23w04a

Can confirm in 24w04a