I wonder if they also allow mining of thousands of blocks per day
When you have a hard-fork, with a new mining algorithm, then you can pick any starting difficulty. And if it will be too low, then of course, a lot of blocks will be mined instantly. We saw that for example in testnet4, where the first 20k or 30k blocks appeared quite quickly, before the difficulty adjusted.
Given that its a hardfork there is much they could do to prevent an insta-mine. E.g. make the initial re-targeting much faster, set the reward to 0 initially then phase it in once the hashrate is stable according to some automated criteria, missed rewards could be paid out later.
It could even initially restrict the blocksize to just a coinbase transaction and require it to pay nothing to an op_return-- let the initial fans mine nothing but headers to calibrate the difficulty. This might actually be a very good calibration, given the reasonable assumption that the coin will be worth nothing we should expect altruistic nothing miners will well approximate the long term hashrate.

Failing that kind of live calibration they could instead take the recent hashrate on their fork (about 7 EH per ocean stats), convert that to power usage (about 100 MW conservatively), then convert that to hashrate with the asics available for their new work function (works out to maybe 500 PH). It might still be way off, but it could be a starting point for a system that could recover on its own. If they're not able to get 100MW on their "real bitcoin" they can't really sustain those claims.
But they've given themselves zero development time-- they don't even have enough time for a testing and ordinary release cycle, and they still much at least develop their POW and reorg protection plus the ecosystem support to make the thing possible to mine. And so the development needed to prevent a windfall instamine will almost certainly not happen. "Oh sorry, we accidentally printed ourselves a bunch of money, no one could have expected that!"
Such a travesty, because they could do something cool with their hardfork as there are plenty of good changes that aren't worth doing in a system with active users that would be disrupted or are just subjective enough that one can't justify foisting them onto people who haven't opted in... but instead they're going to push out some hastily created slop and rip their faithful off and probably blame bitcoin for their incompetence, greed, and delusional conduct.
and will also destroy all mathematical chances of reaching a stronger chain in the future, because then, no amount of Proof of Work will reorg the non-BIP-110 chain.
I doubt they consider that much of a loss, as even delusional people can see that that chance is only mathematical rather than practical.