Fortunately I've been running Linux on my XPS 13, which I have put into a bag hundreds of times (maybe even over a thousand) while suspended. Linux's suspend does actually use the "cold" S3 suspend state, so this is safe.
[0] It's called "Modern Standby" (https://docs.microsoft.com/en-us/windows-hardware/design/dev...), which... honestly sounds really stupid to me. "Modern Standby" presumably drains the battery orders of magnitude faster than a normal S3 standby. I can't imagine ever wanting this behavior. I'm entirely fine with my laptop taking ~10 seconds to wake up and reconnect to whatever network I'm near.