Yes, this applies to lithium ion and LiFePO4. One thing that clouds the issue a little is that it seems some of the battery manufacturers would like to sell more lithium ion & LiFePO4 replacements for lead acid, so they skip over some of the finer details.
Everything I've read points to the fact that lithium ion and LiFePO4 suffer higher capacity loss over time when stored at a higher state of charge. Up to 6% per year at 100% SOC is a number I've seen quite often, whereas 70% SOC might only be 3% degradation per year. This is less of an issue for your cell phone where it might spend quite a bit of time at a lower SOC than 100%, but it's definitely a problem for backup applications. Floating at say 4.2V per cell is going to be particularly bad.
But now you have a problem for backup because you don't want to kill your batteries but you also want them to be fully charged because that is their job! So the compromise that all the companies seem to go with is charge the batteries to 100% SOC then stop charging and let them sit. They have a very low self discharge rate compared to lead acid. Run yearly discharge tests and recharge at that time. Worse case they might be at 95% capacity at the wrong moment.
From what I've seen, most of the pricing for quality lithium ion and LiFePO4 is between 5-10X the cost of lead acid, although of course there are plenty of no-name brands out there advertising with various YouTube content creators. One of the things the lithium ion and LiFePO4 sellers like to point out is how many more cycles you can get out of them, but due to the cost difference you can just build a larger lead acid battery bank and cycle it less. Then you'll also have that "reserve" capacity if necessary. In other words, I'd rather have a lead acid battery bank that has 5 times the capacity in a backup application for the same amount of money. Even then, modern deep cycle AGM has a pretty decent cycle life anyway.
And to clarify, this is for backup applications.
Lithium ion and LiFePO4 obviously still have advantages over lead acid, especially with mobile and high-rate applications and certain off-grid solar setups. If you cycle your lithium ion or LiFePO4 battery bank off-grid on a regular basis from say 30% to 80%, you will get thousands of cycles out of it no problem. Lead acid in the same situation might be dead in a year.
I have a 4 year old ~15kWHr battery bank for my backup system and it typically only sees a dozen events a year and most are only a few percentage of discharge. A handful have been around 70% and only once was 50%. They are AGM and are sold as high-rate, long-life (10 years).
I also have a ~3.5kWHr AGM battery bank at a remote seasonal cabin and it's over 10 years old with very little capacity loss. It gets cycled a few times a year to maybe 50% and otherwise is float charged at 100% via solar.