I actually think this new system will be a good upgrade from before for several reasons:
It will be much easier and straightforward to see how many more battles you have left to play in a given day (or battle session), and more importantly, each battle is worth the same amount of rShares for a win.
For those that do have the time to play extra battles in a given battle session, one can burn DEC (a critical use of the token to burn existing supply) to play more battles. This will let players (and bots) to trade one resource, DEC, for another, battles and subsequently rShares for winning. I think this is a big net positive!
Based on the math, people know exactly how many games they can play in a season and can more easily plan around that. 50 battles on day1 and 25 battles for each subsequent day for the remainder of the season. For an average 15 day season, one can play 50 + 24 × 14 = 386 battles without burning any DEC. But it is good to have the option to burn DEC for more battles and looks like a very fair use for burning DEC.
I think it may also influence people to make secondary accounts and own more cards as a result. If one wants to play more battles without spending DEC, one can just play a second account for another 386 battles per season. This option would lead to more card ownership and ultimately be another positive for asset prices.
As always with these changes, it may be a bit rough at first as people get used to the new system. However, most of the changes I've seen over the past 15 months have been big benefits for the game, and I think this change will be more of the same, benefiting the players to make things easier to understand and streamlined for new players.