Today's Hot Fix 1.16.201, unfortunately doesn't resolve the "Can not connect to world" offline issue. At least not with Washington DC Template.
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Windows 10 Minecraft Bedrock Hotfix 12-15-2020 1.16.201
Intel(R) Core(TM) i7-4770K CPU @ 3.50GHz 3.50 GHz
16.0 GB
Windows 10 Pro 20H2 - Build 19042.685
Windows Feature Experience Pack 120.2212.551.0
I've narrowed down my 1.16.200 Bedrock Win 10 - "Unable to connect to the world" issue to a single template, which is Washington DC by FullBoat.
This is the same template that had this issue with the release of 1.16.100
[media]I have a similar issue, just started. My realms works fine, but I can not connect to my offline worlds.
Unfortunately, nothing I have tried has been able to correct this bug.
Windows 10 Bedrock
[media]
I uploaded the same world template Washington DC that reports "Can not connect to world" when trying to use it on my computer, up to my Realms account and it worked without issue on Realms.
I downloaded a "copy of the working Washington DC template from my Realms" to my computer and this version of Washington DC copied from Realms, works offline and does not have the "Can not connect" issue.
I also tested Izak Chors comment about using a VPN on the templates that "Can not connect to world" via Windows 10 Bedrock and that did not resolve or change its inability to connect or work.