LogMeIn (LMI) apparently currently does not support wake on LAN (WoL) functionality for any computer which uses "Modern Standby". Here's a link to Microsoft's website for some background info.
According to this document from Dell (link), Dell will no longer support disabling Modern Standby. So that appears to indicate that LMI will no longer support any Dell computer going forward. Realistically, at some point this could affect all computers assuming that other computer manufacturers/OEMs follow Microsoft's push to Modern Standby.
At least in my case, my affected computers will still successfully wake when they receive the WoL packet from any other tool. So although complete and full LMI support for Modern Standby might take some time to develop, it seems like a workaround could be implemented by LogMeIn developers in the meantime. Since these computers do successfully respond to WoL packets, it seems like it should just be a matter of making the LMI servers believe it so that they can send the commands which generate the WoL packet.
I can provide more details, talk to developers (or whoever), maybe even help beta test if desirable. But please add support.