I like the idea of limited entries, but I think 12h cooldown is too low. 2 entries per day when there are on average 4 tournaments per day seems too much, especially assuming that not all players can join every tournament. Assuming you use different cards for differently level-limited tournaments it might just force splitting your collection between two accounts. Also what is not specified in the proposal is the maximum entries to stack up? Is it just two? Because that would incentivize daily joining up for tournaments over making a schedule for the week or however long ahead one wants to plan.
At the topic of benefit for the DAO, I doubt that farming SPS print brings in too many new people. I get the argument about card value being pushed with more earning opportunities, but this is at best an indirect benefit for the DAO, so why should the DAO pay for it? As the print will eventually end this seems like an additional expense that needs to be covered at some point by something else anyway, so what if ticket costs are not entirely burned and instead at least partly substitute the prize pool. At the very least this would prolong the SPS print runway and whether you reduce SPS emissions or burn DEC is probably not much difference in the short-mid run anyway.
In the mid-long run I could imagine this tournament energy being the "bet on me" currency for tournaments, where you can have zero ticket promo tournaments and on the other end of the spectrum high stakes tournaments which require a lot of tickets to enter. That way this can also be harmonized and used for non-DAO tournaments as well and people could actually try to earn something by offering exceptional prizes at high entry costs. I could imagine tournament organizers finding good deals on the market to offer high value prizes in exchange for a cut of the tournament entry costs. That way you could outsource tournament creation to semi-professional organizers instead of just having tournaments as SPS farming 99% of the time.
The purpose of the limited entries to address the signing up and not playing and card swapping. Technically players could schedule a few days in advance if they want to take a few days off. Someone else mentioned 1 entry per day, I'll take it into consideration and keep gathering feedback. As far as the DAO paying for it... the DAO is and has been "paying for it" for over 2 years now and has a few more to come unless something changes via proposal. It's part of the whitepaper inflation.