So, as has been suggested before, if a LR required x number of SRs in between, and you can only SR x, or even as it is now, then SR would "mean something". There's no need to increase the number you can take "per day", as it were, simply improve the LR mechanic by requiring SRs in between. In doing so, however, we're going to need another system for story beats. As I've said countless times, I miss a lot of them because I don't LR between every encounter. I'm lucky if I LR every session. I've used SR exactly once.
If a LR required x # of SR in between, what is to stop you from SRing that many times and then LRing? It limits nothing and is just more annoying. Besides, it doesn't fix the main issues.
1. Dialogue is tied to LR, so LR is encouraged often.
2. Characters in the game prompt you often to "get some rest. It's been a long day."
3. Encounters are not built to promote pushing yourself to continue all the way through a story arc without LRing. Example:. The Hag. I've tried multiple times to start that quest and go all the way through to beating her without a LR. It's impossible for me. After the 4 Masks, I'm pretty much done for the day. So poor Mayrina has to wait 24 hours in a cage dangling over a pit while I go take the rest of the day off. The spider lair is the same. Try getting through the entire spider lair without LRing once. I can't do it. Maybe you can, and yay you, but I can't and I doubt a majority can as well.
4. SR is still pointless because LR has full restore benefits and SR is just a band aid. But it's limited and LR is not. So again, why SR at all when you can LR as much as you want?
I didn't even touch on all the other issues I've mentioned like a thousand times out here.