ET looks great for a lot of things, but not necessarily this environment, which is a few hundred systems administered by multiple people, with extremely high stability and security requirements. Honestly, all the extra stuff ET and MOSH does is to give you that extra 1-2% of features to make it seamless, but at the expense of separate protocols and new software, so you don't have to expend new hardware (or in this case, virtualized hardware.
Connectivity problems almost always come from the last mile, whether that's you moving to make the last mile somewhere else or your wifi or home connection having a problem. A VM at Digital Ocean, or in my case the highly redundant and available VMware cluster at work, is much less likely to have any sort of problems, as are the servers that are generally being connected to (and it those ARE having problems, you can't rely on sessions to them being kept anyway).
For 99% of the cases, you can get by easily by just SSHing to a highly available VM, starting a tmux session for the desired connection, and within that session SSHing to the desired system. Jumping through other systems with SSH is so common that OpenSSH has features built in to support it, even transparently (where your config can just make it automatic for a class of systems). In fact, I bet there's a way to get the OpenSSH Proxying SSH server to keep the session open to reconnect to from the client if it's only the client side that had a problem, so it doesn't even require the little script I have. It's actually on my todo list to figure out the windows included OpenSSH agent stuff and see how well the new Windows Terminal works as an SSH terminal, but I haven't gotten around to it (or just use the WSL stuff, but I haven't seen much need for it yet, I'm happy to do most my dev work in vim on a dev server).