Both are "discharges". One is a discharge in a gas, one is a discharge in a plasma. Other than that, they are virtually identical.
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Wrong: The term electrical discharge is used for a discharge in a gas and a discharge in a plasma. The term used is absolutely identical.
The things being described are hugely different:
- discharge in a gas = a sudden current between area of different voltage enabled by the breakdown of a dielectric medium.
- discharge in a plasma = a sudden change in an existing current producing a large current density.
Apparently you're just in denial of the whole concept of a "discharge" so you insist on "dumbing it down" to "current flow", is that how the denial-go-round works?
That is a lie: I do not deny that concept of discharge., It is a word in the English language

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What you are in denial of is the different meanings of the term electral discharge (see above).
I do not deny or dumb down that
- The standard defintion of electrical discharge involves dielectric breakdown.
- Peratt's defintion of electrical discharge in section 1.5 of his book is basically the standard definition. His defintion does not include that it can happen within a plasma.
He includes the word "generally" so should have added an extra sentence or two explaining the exceptions to his definition.
- Some authors describe a large current density in a plasma as an electrical discharge.