Here’s an alternate perspective. We’ve used Roku (multiple models) on Tablo for two years-plus but just recently switched all our TVs over to the Fire Stick.
That happened when Amazon had a Black Friday sale offering the Stick for US$30, which even though I had found the Fire Stick version 1 woefully underpowered I couldn’t resist. I found the new version Stick to have more than enough processing and wifi power and to be able to draw sufficient current from the USB socket on the TV, which alongside being plugged directly into a TV HDMI port meant much less clutter than with the Rokus. Much more important, I found the Tablo Fire interface to work as well or better than with Roku. All our Fire Sticks are responsive and haven’t crashed once.
The one thing I don’t like, as for many, is Amazon’s default home screen pushing Amazon Videos in a chaotic fashion, but they’ve implemented the ability to long-press the home key and go directly into a very clean app menu, which is user sortable, and that works very well for Tablo and all other non-Amazon Video apps. We’ve concluded we can live with the occasional one-extra key press for all the positives (including being cheaper than most Rukus which work well with Tablo). Admittedly I have not tried the latest Roku Stick, but I was very surprised to find that the Amazon Fire Stick can handle things so well.
As for apps on a practical level, we found every app we use even occasionally on our Rokus to be available for our Fire Stick - and I love the fact that I can sideload almost any Android app onto the Fire Stick, which of course is impossible on Roku. We use several Android apps whereas we never used the obscure Roku ones.
The killer benefit for us, though, is this: Tablo Connect (remote out-of-home viewing) works on the Fire Stick and not on any Roku. So, we have not only converted every TV over to the Fire Stick after witnessing the performance of the one bought on Black Friday, but we’ve bought an extra one to travel with. We’ve already used it at the in-laws and in a couple of hotel rooms to watch Tablo remotely. (Of course you could do this with a travel-Fire Stick whatever device installation you choose to have at home.)
Less important, but interesting, is that the Fire Stick remote control serves as an Alexa input device - so we can use it to ask questions or control the Alexa-connected devices in our home. It works fine to find many videos but can only take us to a one-click to open Tablo screen, not search within Tablo.
We have kept the Roku connected to our main TV as well as the Fire Stick. But we haven’t used it once since the handover to the Fire Stick.
Now two last points: I’m as surprised as anyone to be writing this, having been a Roku evangelist for years; in many ways it makes me sad to desert Roku, but experience tells. Because we are a family which lives in the UK as well as the States, the ability to have UK Android TV apps on the Fire Stick along with Tablo is just sensational. Second, the ability to use the Audio Guide feature on the Roku device in your specific situation (even if it doesn’t work with the Tablo) might well make the difference in your case; Amazon Fire devices have VoiceView, but I’ve no idea if that is as good as Roku’s Audio Guide or what the comparison of features between the two is.
Sorry for the length of this, but I thought a fullish description might be helpful.