What's the deal, is it just broadcasting re-runs?
That is, indeed, part of the Big Question (as DrBecky considered, briefly, in her video).
These systems (large stars feeding mass onto an orbiting white dwarf are thought to be progenitors of the "type 1a supernovas" which are our most accurate "standard candles" for investigating the distant cosmos. Hence, "dark energy" - but not "dark matter" - hangs on understanding this process well.
One of the big outstanding questions in the field is whether the "metallicity" of the progenitor star meaningfully affects it's peak brightness or "rise time" (time from first-brightening to peak brightness), and decay time (fading rate of the supernova). As (possibly) the closest example of such a system, you can see the importance of observing this system as closely as possible. This is (will be) the first opportunity we've had to see one, close up, with warning, since we had detailed science on thermonuclear explosions. A lot hangs on understanding such systems as well as we can.
One of the arguments is that repeated eruptions like this cause "metals" (nuclei heavier than helium/ lithium) accumulate from one eruption to the next, until there are enough to trigger the catastrophic destruction of the entire star, instead of a (relatively - see comment about a hydrogen bomb the size of the Earth) gentle re-surfacing of the white dwarf.
Another continuing argument is over the nature of the progenitor white dwarf - is it composed primarily of carbon, nitrogen and oxygen nuclei (a "CNO" white dwarf), or is it composed of oxygen and neon nuclei (an "ONe" white dwarf, possibly with magnesium for ONeMg). Understandably, this may affect the resulting supernova, in terms of peak brightness and decay time (and possibly rise time, but for unpredicted events, that's not a huge amount of use. Probably.)
How many "re-runs" are needed to accumulate a "trigger mass" of eruption debris? Nobody knows. From the eruption history of this star, it has probably done it more than ten times previously, but at 80 years per data point, how significant that is, nobody knows.
A lot hangs on understanding these "standard candles". For example, in theory the whole paradigm of "dark energy" could be upset by understanding these eruptions, stellar systems, and the (probably) resultant supernovae better. It's unlikely to go that far, but whether the universe is 75% "dark energy", or 25% is more plausibly open for re-evaluation.
This "re-run" is probably a bigger deal then seeing "I love Lucy" yet again, even for a hungry, lust-sick alien.